Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
-4x - y = 19 -------- Equation ( i ) x - 2y = -7 ----------- Equation ( ii )[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of x & y[tex] \underline {\underline{ \text{ Solution}}} : [/tex]
From equation ( i ) :
-4x - y = 19
-y = 19 + 4x
-y = - ( -19 - 4x )
y = -4x - 19 ------ Equation ( iii )
Substituting the value of y from equation ( iii ) in equation ( ii ) , we get :
[tex] \tt{x - 2y = - 7 }[/tex]
⇾ [tex] \tt{x - 2( - 4x - 19) = - 7}[/tex]
⇾ [tex] \tt{x + 8x + 38 = - 7}[/tex]
⇾ [tex] \tt{9x = - 7 - 38}[/tex]
⇾ [tex] \tt{9x = - 45}[/tex]
⇾ [tex] \tt{x = \frac{ - 45}{9}} [/tex]
⇾ [tex] \boxed{ \tt{x = - 5}}[/tex]
Substituting the value of x in equation ( i ) , we get :
⇾ [tex] \tt{ - 5 - 2y = - 7}[/tex]
⇾ [tex] \tt{ - 2y = - 7 + 5}[/tex]
⇾ [tex] \tt{ - 2y = - 2}[/tex]
⇾ [tex] \tt{y = \frac{ - 2}{ - 2}} [/tex]
⇾ [tex] \boxed{ \tt{y = 1}}[/tex]
The possible solution of the system is ordered pair ( x , y ) = ( -5 , 1 ) .
[tex] \red{ \boxed{ \boxed { \tt{Our \: final \: answer : \boxed{ \tt{( - 5 \:, 1 \: )}}}}}}[/tex]
Hope I helped ! ツ
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Related Questions
(-6,5)
(7,-3)
What is the slope
Answers
Answer:
-8/13
Step-by-step explanation:
The slope of (-6,5) and (7,-3) is -8/13.
Answer: pretty sure it’s -8
Step-by-step explanation:
I used the slope formula which is:
m= y2-y1/x2-x1
m= -3-5/7-6
m= -8/1
m= -8
Best buy is having a 20 percent off deal on Tv's. If the tv cost 415 dollars in total, how much would you pay with the discount?
Answers
Explanation:
You have to change the percent into a decimal so 20% becomes 0.20
415 x 0.20 = 83
20% of 415 is 83
415 - 83 = 332
Solve the following multi-step equation: 4(2 - 4x) - 3x = 65
Answers
Answer:
x = -3
Step-by-step explanation:
4(2 - 4x) - 3x = 65
Distribute the 4.
8 - 16x - 3x = 65
Combine like terms.
8 - 19x = 65
-19x = 57
Divide by -19 to isolate x.
x = 57/-19
x = -3
Check.
4(2 - 4(-3)) - 3(-3) = 65
4(2 - (-12) + 9 = 65
4(14) + 9 = 65
56 + 9 = 65
65 = 65
The solution of the given linear equation 4(2 - 4x) - 3x = 65 is -3.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:
4(2 - 4x) - 3x = 65
Multiply the expressions inside the brackets,
8 - 16x -3x = 65
8 - 19x = 65
Subtract 8 from both the sides,
-19x = 65- 8
-19x = 53
Divide both side by -19
[tex]x = \dfrac{-53}{19}[/tex]
Thus, the value of x is -3.
Learn more about equations here:
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Colin buys a tv for £690. It depreciates at a rate of 2% per year. How much will it be worth in 6 years? Give your answer to the nearest penny where appropriate.
Answers
Answer: £611.23
Step-by-step explanation:
The tv is depreciating at a rate of 2% per year. At this rate, the value after 6 years can be acquired using the future value formula:
= Current price * (1 + growth rate) ^ no. of years
Growth rate is negative because it is depreciating:
= 690 * (1 - 2%)⁶
= 611.23124279616
= £611.23
Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?
Answers
Answer:
36 ft
Step-by-step explanation:
Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?
Hence, this is calculated as:
5ft/15ft = 12 ft/Daniela's height
Cross Multiply
5ft × Daniela's height = 15ft × 12ft
Daniela's height = 15ft × 12 ft/5ft
= 36ft
Therefore, Daniela's height = 36 ft
You spin each spinner. How many outcomes are possible?
S
R
W
Submit
Answers
Answer:10
Step-by-step explanation:
Use the information in the problem to write an equation. Then use the equation machine to help you solve it.
8 years ago Marcus was 12 years old. How old is he now?
Marcus is _______ years old.
Answers
Answer:
he's 20 now
Step-by-step explanation:
add 12 and 8
The present age of Marcus will be 8 years now.
What is an expression?The link between numbers, variables, and functions using mathematical signs like addition, subtraction, multiplication, and division is referred to as expression in mathematics.
Mathematical expression is defined as the relationship between numerical variables and mathematical operations such addition, subtraction, multiplication, and division.
Marcus was 12 years old eight years ago. Marcus' age as of right now will be determined as follows:
x - 8 = 12
x = 12 + 8
x = 20 years
Therefore, the present age of Marcus will be 8 years now.
To know more about an expression follow
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This is the last one. Please help I need this in by 11:59
Answers
Answer:
37) the answer to that is 89 - 66= 23 add the angles frm 40 degree half which is
20+46= 66 and the other angle is not 90 but 89 so minus one frm 90 which is 89- 6= 23 degree
38)
39. 68
40. 22
The ratio of country albums to jazz albums in a music collection is 2:3. If the music collection has 45 albums,
how many are country albums?
Answers
Answer:
18 albums
Step-by-step explanation:
2x+3x=45
5x=45
x=9
country=2(9) = 18 album
⅒ (to decimal)
A. 0.1
B. 0.53
C. 0.10
Answers
A. 0.1
Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?
Answers
Answer:
a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?
Step-by-step explanation:
Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle? Darnell can buy a particular brand of fruit juice in a 6-ounce bottle or a 10-ounce bottle. The juice in a 10-ounce bottle contains 150 calories. How many calories are in a 6-ounce bottle?
Identify the data that is quantitative.
total number of grocery stores
types of expenses for a grocery store
types of products sold in a grocery store
style of restaurants in a grocery store
Answers
wilbur has sold 100, 42,87, and 66 appliances in the last four months, respectively. How many appliances will he need to sell this month to maintain an average of at least 72 sales per month?
Answers
Answer:
59
Step-by-step explanation:
1) so you start with the mean being 72x5=360
2)100+42+87+66=295
3) 360-295=65
(you get the 5 from the amount of numbers there are) P.S sorry if I'm wrong or this doesn't help
You need to move a figure to the right 3 units and down 4 units. What is the coordiante notation for this rule?
Answers
Answer:
4,3
Step-by-step explanation:
Which of the angles below are vertical angles?
Answers
Pls help due ASAP
Bsbgsgdgdh
Answers
Answer:
the answer is b 10<m<14 your welcome have a great day hope this helps
Answer:
The answer is A . 4<m<24
Step-by-step explanation:
m+10>14
m>4
14+10>m
m<24
Heidi went on a hike and now needs to ride her bike back to her tent. She starts out by traveling 15 miles south. Then she turns and rides 8 miles east. How far is she from her starting position to her tent?
Answers
Answer:
17 miles
Step-by-step explanation:
If Heidi starts out by traveling 15 miles south, then y = -15 miles
If she then turns and rides 8 miles east, then x = +8miles
The distance from her starting position to her tent is gotten using the pythagoras theorem as shown;
d = √(-15)²+8²
d = √225+64
d = √289
d = 17miles
Hence her distance from her starting position to her tent is 17 miles
How many 4 decilitre jugs are
needed to fill 8.4 litre container?
A 21
B. 2 100
C. 210
D. 33.6
Answers
Answer:
A=21
Step-by-step explanation:
4 decilitres= 0.4 litres
8.4/0.4=21
Solve the equation 6(3x + 4) = 4x -4.
10
7
0x = -2
Ox=2
Answers
What is the slope of a line perpendicular to the line whose equation is x−2y=12.
Answers
Answer:
-2/x
Step-by-step explanation:
simplified is y = -x/2 - 6
Perpendicular slopes are just reciprocals of the original slope, so just flipp the original slope around to be the complete opposite.
Example if slope= -2, the reciprocal= -1/2
Just flip the numerator with the denominator for perpendicular slope
SOMEONE HELP NOW IM ON A TIMED TEST
Margo's hybrid car uses 56 of a gallon of gas for every mile that Margo drives. Margo
drove her car 200 miles to visit her aunt. When she left her house the car's gas tank
was full. When she arrived at her aunt's house the gas tank contained 8 gallons of gas.
She did not stop for gas along the way.
Which equation represents the number of gallons of gas, y, in the car's tank after
Margo drives the car x miles?
Answers
Answer:
It is C
Step-by-step explanation:
PLS help me ill mark u brainliest
Answers
Answer:
They are adjacent anglesThey are a linear pairThey are supplementary anglesTheir sum is [tex]180^{\circ}$[/tex]Step-by-step explanation:
Since [tex]\angle 1[/tex] and [tex]\angle 4[/tex] are on one side of a line, their sum is [tex]180^{\circ}[/tex], meaning they are supplementary. This also defines them as a linear pair and both angles are adjacent to one another. None of the other answer choices are implied in the figure, thus:
They are adjacent anglesThey are a linear pairThey are supplementary anglesTheir sum is [tex]180^{\circ}$[/tex]Hello can anyone answer this for me please ? I will give brainliest
Answers
Answer:
Your answer will be A have a good day :)
Step-by-step explanation:
A - 1 = 1 and B is 1
In rectangle uvwx, xy = YW = 18.5 in. What is the area of rectangle uvwx
IM BEING TIMED PLEASE ANSWER THANKS
Answers
Answer:
The area of the rectangle is 420 square inches
Step-by-step explanation:
By adding the diagonals, we have a total of
18.5 * 2 = 37 inches
We can apply Pythagoras’ theorem to get the other side of the triangle
It states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the other side measure x inches
Thus;
37^2 = 12^2 + x^2
x^2 = 37^2 - 12^2
x^2 = 1225
x = √1225
x = 35 inches
So the area of the triangle would be;
35 * 12 = 420 square inches
Answer:
420
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME I WLL MARK BRAINLIEST!!!
Answers
Answer:
1/2 inch: 3 feet
Step-by-step explanation:
It says in the bottom right corner.
Answer:2tt
Step-by-step explanation:
huh
You want to limit the amount of television you watch to an average of at most 2 hours a week during and eight week period. How many hours x can you watch in the eight weeks to meet your goal.
Answers
Answer:
x = 16hours
Step-by-step explanation:
Given
Total number of hours to watch the television a week is 2 hours, that is;
2hours =1 week
We are to find the number of hours to watch in eight weeks to meet the goal
x hours = 8 weeks
Divide both expressions;
2/x = 1/8
Cross multiply
1 * x = 2*8
x = 16
Hence he will use 16hours to watch the television in 8 weeks
LM is the diameter of OP. N L *not drawn to scale IfmXLMN = 48° what is mZNLM? A. 24° B. 42° C. 48° D. 66° E. 84
Answers
Answer: B
Step-by-step explanation:
If the other one is 48 then this one must be 42 i think
Please help i am not good in this type of math at all!
Answers
Answer:
*2.5
Step-by-step explanation:
15*2.5=37.5
7*2.5=17.5
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account.
How much money was in the account after 3 years?
Answers
Answer:
$329.18
Step-by-step explanation:
315 + 14.18 = $329.18
8th Grade Math Homework Thursday, January 28th
Simplify. Combine like terms.
1. 12y - 18y
2. 4(y + 5)
3. 3x + 6y - 9x + 4
4. 6(x - 9) + 10 - 3x
5. Is 4 a solution of 5(2 - x) = -10? Show work to justify your answer.
Solve and check the following equations. Show all steps.
6. 4x + 20 = 0
7. 5x - 3 = 2x - 27
8. 6x - 8 = 2x + 16
9. 12 - 3x = 22 + 2x
10. x + 7x - 12 = -20
11. 7x+4 - 13x = -1 + 23
Answers
2. 4y+20
3. -6x+6y+4
4. 3x-44
5. •work:
•plug in 4 to the equation
5(2-4)=-10
10-20=-10
-10=-10
•so, yes it is a solution to 5(2-x)
6. •work:
4x+20=0
-20 -20
4x=-20
4x/4=-20/4
x=-5
7. •work:
5x-3=2x-27
-2x -2x
3x-3=-27
+3 +3
3x=-24
3x/3=-24/3
x=-8
8. •work:
6x-8=2x+16
-2x -2x
4x-8=16
+8 +8
4x=24
4x/4=24/4
x=6
9. •work:
12-3x=22+2x
-2x -2x
12-5x=22
-12 -12
-5x=10
-5x/-5=10/-5
x=-2
10. •work:
x+7x-12=-20
8x-12=-20
+12 +12
8x=-8
8x/8=-8/8
x=-1
11.•work:
7x+4-13x=-1+23
-6x+4=-1+23
-6x+4=22
-4 -4
-6x=18
-6x/-6=18/-6
x=3
here you go! hope this helped!! :)