Solve the system of linear equations using ELIMINATION. Write your final solution as an ORDERED PAIR.
5x-3y=x1
2x-y=2
Answers
Answer:
The solution to the system of equations becomes:
(x, y) = (7, 12)
Step-by-step explanation:
Given the system of equations
[tex]5x - 3y = -1[/tex]
[tex]2x - y = 2[/tex]
Solving using the Elimination Method
[tex]\begin{bmatrix}5x-3y=-1\\ 2x-y=2\end{bmatrix}[/tex]
Multiply 5x - 3y = - 1 by 2: 10x - 6y = -2
Multiply 2x - y = 2 by 5: 10x - 5y = 10
[tex]\begin{bmatrix}10x-6y=-2\\ 10x-5y=10\end{bmatrix}[/tex]
subtraction operation
[tex]10x-5y=10[/tex]
[tex]-[/tex]
[tex]\underline{10x-6y=-2}[/tex]
[tex]y=12[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}10x-6y=-2\\ y=12\end{bmatrix}[/tex]
Therefore, the value of y = 12
For 10x - 6y = -2 plug in y = 12
10x - 6y = -2
10x - 6(12) = -2
10x - 72 = -2
10x = -2+72
10x = 70
dividing both sides by 10
10x/10 = 70/10
x = 7
Therefore, the value of x = 7
Thus, the solution to the system of equations becomes:
(x, y) = (7, 12)
Related Questions
1 - 5x = -5x + 1
Help pls solve for x
Answers
Answer:
x can be all real numbers
Step-by-step explanation:
1 - 5x = -5x + 1
-5x+5x=1-1
0=0
Answer:
1/10
Step-by-step explanation:
5x=-5x+1
Move the variable to the left hand and change its sign
5x+5x=1
10x=1
x=1/10
PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1
Answers
Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
-2x + y = 3
what does x equal
Answers
Answer:
Step-by-step explanation:
-2x+y=3
-2x=3-y
x=[tex]\frac{3-y}{-2}[/tex]
A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 10 square feet. Find the length of the rectangle.
Answers
width= 2ft
10ft=l x w
w= l -3
10ft= l(l-3)
0= l^2 -3l-10
0= (l-5)(l+2)
l=5, l≠-2 (because a measurement can’t be negative)
w= 5-3
w=2
y=3x + 4 Find the value of y when x=4
Answers
its 16 because you’d rewrite the equation as y=3x4+4
Walter invested some money at 5% simple interest for 3 years and earned $300. What was the amount he invested?
Answers
the young lad invested 6000$
Answer:2000
Step-by-step explanation:
The graph of the piecewise function f(x) is shown.
What is the domain of f(x)?
Answers
Answer:
its the first one
16. In the figure below, lines A and B are parallel.
Answers
Answer:
the angle measurement is 75
Step-by-step explanation:
The volume of a golf ball is approximately 4in.3 what is the diameter round you answer to the nearest whole number
A 4 in
B 6 in
C 1 in
D 2 in
Answers
Answer:
D. 2 inches.
Step-by-step explanation:
Given the following data;
Volume of golf (sphere) = 4 in³
A golf ball is spherical in shape. Thus, to find its volume we would use the formula for the volume of a sphere.
[tex] Volume \; of \; a \; sphere = \frac {4}{3} \pi r^{3} [/tex]
Substituting into the equation, we have;
[tex] 4 = \frac {4}{3} * 3.142* r^{3} [/tex]
Cross-multiplying, we have;
[tex] 12 = 4 * 3.142* r^{3} [/tex]
[tex] 12 = 12.568 * r^{3} [/tex]
[tex] r^{3} = \frac {12.568}{12} [/tex]
[tex] r^{3} = 1.0473 [/tex]
Taking the cube root of both sides, we have;
Radius, r = 1.016 inches.
To find the diameter;
Diameter = radius * 2
Diameter = 1.016 * 2
Diameter = 2.03 ≈ 2 inches.
Answer:
the answer is 2.
Step-by-step explanation:
i just did this question on the exam
The answer would be 250
Answers
Answer:
Thank you....... I guess
Step-by-step explanation:
Answer:
what?
Step-by-step explanation:
X+2y=10
X+y=6
Using eliminations to solve each system
Answers
Answer:
x= 2
y=4
Just subtract by like numbers.
x + 2y = 10
x + y = 6
Both x's in the equation are equal. We want the x of the last equation to be negative so we can eliminate.
x + 2y = 10
-x - y = -6
Subtract.
y = 4
Now that we figured out y, we have to figure out x. Substitute y into one on the equations.
x + 4 = 6
x = 2
Now we figured out x. The answer is (2,4). I hope this helps! Let me know if I got anything wrong or if you need any more help with this problem.
⚠️⚠️⚠️⚠️HELLPP⚠️⚠️⚠️
Use completing the square to solve for x in the equation (x-12)(x+4)-
O x= -1 or 15
O x= 1 or 7
x=4+ JAT
O x=4573
Answers
Answer:
x = 4 ± [tex]\sqrt{73}[/tex]
Step-by-step explanation:
d it is the answer all the way at the bottom
Cross-multiply 9 cups / 15 people = ? cups / 75 people.
Answers
Answer:
The answer would be 45 cups/ 75 people
Find an ordered pair that satisfies the function y=2x-12
Answers
Check
A contestant on a game show has –1,500 points. He loses another
750 points. What is his new score?
Answers
Marc is planning a holiday for 4 people for 7 days.
Here are the costs for the holiday for each person.
Travel
£250
Hotel
£50 for each day
Spending money £350
Work out the total cost of the holiday for 4 people for 7 days.
Answers
Answer:
£3,800
Step-by-step explanation:
The computation of the total cost is shown below;
Each person cost is
Travel cost £250 (assume for 7 days)
Hotel cost £50 × 7 days = £350
Spending money £350 (assume for 7 days)
Cost for each person is £950
Since there are four persons, so the total cost would be
= £950 × 4 peoples
= £3,800
Marina Polyakova pays a total of $1150 per month for rent and electricity. It costs $650 more for rent per month than for electricity. What are the costs for each?
Answers
Answer:
900 and $250
Step-by-step explanation
Given data
Total cost of utilities per month =$1150
Let the cost of rent be x
And the cost of electricity be y
x+y=1150---------1
It costs $650 more for rent per month than for electricity
x=x+650-------2
From equation 1
x+x+650=1150
2x=1150-650
2X=$500
x=500/2
x=$250
Hence the cost of electricity is $250
And the cost of rent is $650+250
=$900
— 9a3. — Зазь
simplify
Answers
Answer:
-3a(9+3b)
Step-by-step explanation:
-9a3-3a3b
= -27a-9ab
= -3a(9+3b) answer
How to answer 3x + 2 < -4
Answers
Answer:
[tex]3x + 2 < - 4 \\ 3x < - 4 - 2 \\ 3x < - 6 \\ x < \frac{( -6)}{3} \\ \boxed{x < - 2}[/tex]
x<-2 is the right answer.Answer:
x < −2
Step-by-step explanation:
Let's solve your inequality step-by-step.
3x + 2 < −4
Step 1: Subtract 2 from both sides.
3x + 2 − 2 < − 4 − 2
3x<−6
Step 2: Divide both sides by 3.
3x / 3 < −6 / 3
x < −2
Answer:
x < −2
Hope this helps :)
Evaluate the expression when a=4 and y=-6.
a-7y
Answers
Answer:
46
Step-by-step explanation:
(4) - 7(-6)
4 + 42
46
What the missing side angles
Answers
The angles combined should be 180.
180-90-28=62
What is the value of 6 + 2x when x = 5?
04
O 13
O 16
0 40
Answers
And then you just add 6+10
So it’s 16
Two pieces of ribbon, one with a length of 63 inches and another with a length of 42 inches are cut into pieces of equal length without remainder. Find the greatest possible length that the pieces can be.
Answers
Answer
224 over 567
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
the greatest possible length that the two ribbons would be when the ribbons are divided by their lowest common multiple.
The lowest common multiple of 63 is 3. 63/3 = 21
The lowest common multiple of 42 is 2 = 42/2 = 21
Thomas and Tina share a cake. Thomas eats 12.5% of the cake. Tina eats
2
176 of the cake. The fraction of cake remaining is "b/c". What is the value of
b? *
Your answer
This is a required question
O
Answers
Kira buys 5 pounds of squash for $4.65 and 3 pounds of cabbage for $3.28. How much does one pound of squash cost?
Answers
Answer:
One pound of squash is 93 cents
Step-by-step explanation:
Divide: 4.65 divided by 5=93
93 cents
Hope this helped!! :)
Stay safe and have a wonderful day/afternoon/night!!!
Brainliest?!?!
In ΔIJK, k = 59 cm, i = 80 cm and ∠J=106°. Find the length of j, to the nearest centimeter.
Answers
Answer:
112 cm.
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:
[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]
In triangle IJK:
We can find the length of j using cosine rule:
[tex]j^2=k^2+i^2-2ik*cos(J)\\\\substituting:\\\\j^2=59^2+80^2-2(80)(59)cos(106)\\\\j^2=3481+6400-(-2602)\\\\j^2=3481+6400+2602\\\\j^2=12483\\\\j=\sqrt{12483} \\\\j=112\ cm[/tex]
3. The spinner below is spun 10 times. If the experimental probability of landing on a 3 is then what is the difference between the experimental and the theoretical probabies?
Answers
Answer Difference between the experimental and the theoretical probability is 2/5 . Step-by-step explanation: Spinner is spun 10 times, and experimental probability of landing on a 3 is 1/2, i.e. out of 10 times spinner lands 5 times into 3.
I hope it is helpful
please help will give brainliest PLEASE
Answers
Answer:
b
Step-by-step explanation:
whats -4 (x - 5) = 40
Answers
Answer:
x=-5
Step-by-step explanation:
-4(x-5)=40
-4x+20=40
-4x=40-20
x=20/-4
x=-5
Dio can run 5 meters in 0.1 seconds using "The World". How much further
will Dio move from Jotaro if he can move for 4 seconds?
Answers
Answer:
If Dio Brando can run 5 meters in 0.1 seconds using Za Warudo he will move 200 meters closed to jotaro in 4 seconds although he can just stop time and move 200 meters closer to jotaro in 0.1 seconds
Step-by-step explanation:
Im cool
Answer:
ZA WARUDO TOKI YO TOMARE
Step-by-step explanation:
ROAD ROLLA DA!!!!!!!!!!!!!
MUDAMUDAMUDAMUDAMUDAMUDA
MUDAAA!!!!!!!!!!!!!!!!