Solve the system using substitution.
2x - 5y = 26
X - 5y = 3

Answers

Answer 1

Answer:

(x, y) = (23, 4)

Step-by-step explanation:

2x - 5y = 26

x - 5y = 3 $\Rightarrow$ x = 3+5y

substituting the value of x ( second equation) into the first equation, we get, 2(3+5y) - 5y = 26. Simplifing, we get,

6+10y - 5y =26

5y = 20

y = 4

So, x = 3+5*4 = 3+20 = 23

Answer 2

Answer:

[tex]\left \{ {{x=23} \atop {y=4}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{2x - 5y =26} \atop {x-5y=3}} \right.[/tex]

you can add 5y to both sides of the second equation:

[tex]x = 5y + 3[/tex]

Then, substitute:

[tex]2(5y + 3) - 5y = 26[/tex]

use the distributive property on the left side:

[tex]10y + 6 - 5y = 26[/tex]

[tex]5y + 6 = 26[/tex]

subtract 6 from both sides

[tex]5y = 20[/tex]

divide both sides by 5

[tex]y = 4[/tex]

Substitute into original equation

[tex]x - 5y = 3 --> x - 5(4) = 3\\x - 20 = 3\\x = 23[/tex]


Related Questions

Luisa works in her grandfather’s jewelry shop. She deposited her earnings in a savings account her savings account balances for five of the last six weeks are shown in the function table below

Answers

Answer:

$950

Step-by-step explanation:

The difference between each y function is $110, so if you continue the pattern, the 5th term will be $950.

Hope this helps :)

Tom bought 7 new baseball trading cards to add to his collection the next day his dog ate half of his collection. There are now only 38 cards left how many cards did Tom start with someone help me please!

Answers

Answer: 83 cards

Step-by-step explanation:

38 x 2 + 7 = 83

please help
bdhdhdhfjci

Answers

Answer:

40 degrees

Step-by-step explanation:

A full triangle is 180 degrees

85+55=140

180-140=40

What is the value of f(-2) when f(x) = 2x2−3x+28

Answers

Answer:

f(2) = 30

Step-by-step explanation:

f(x) = 2x² − 3x + 28

f(2) = 2(2)² - 3(2) + 28

f(2) = 2(4) - 6 + 28

f(2) = 8 - 6 + 28

f(2) = 30

Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true.

ill give brainliest

Answers

Yes, both equations will always work, but yes, at times it is more logical to use one over the other. for instance:

x-4y=6

x+4y=12

we see here that elimination would best fit:

x+x+4y-4y=6+12

or:

x=2y-3

7x+3y-81=23

substitute (2y-3) for x.

Also, once you have a single placeholder, put it ito quadratic form (ax^2+bx+c=0)

and use the quadratic formula:

x=(-b±sqrt(b^2-4ac))/2a

Answer:

yes

Step-by-step explanation:

Use the quadratic formula to solve for x.
8x²-7x+1=0
(there may be more than one solution, if so, separate them with commas.)

x = _

Answers

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and mark me as brainlist

-2х + 12y = -3
x – бу = -3

Answers

Answer:

24y = 4x +3

Step-by-step explanation:

by this expression you can find the answer

-2 x -6 x -4 =

Please help

Answers

-16 would be the answers

Answer: -8x-4

Step-by-step explanation:

The equation is supposed to be simplified.

-2x-6x=8x

8x-4

What is the volume of the figure? Enter the answer in the box.

Answers

Answer:

Volume of figure = Volume of big cuboid+ The volume of small cuboid

                            = 22(5)(8) + 12(5)(8) = 1360[tex]cm^{3}[/tex]        

Can someone please help me !!!

Answers

Answer:

weak positive

Step-by-step explanation:

2(n + 5) = −2 pls show your work

Answers

Answer:

2(n + 5) = -2

2n + 10= -2

2n = -12

n= -6

Step-by-step explanation:

The sum of two numbers is 37 and the difference is 9. What are the numbers

Answers

Answer:

23 and 14

Step-by-step explanation:

ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP

Answers

Answer:

6 x's and 9 ones

Step-by-step explanation:

MATH HELP PLZZ!! MARKING BRAINLIEST!!!

Answers

Answer:

1 1/2 y

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

recall that graphically, a solution to two equations when expressed in a graph, is simply the coordinate of the point of intersection.

in our case, it clear that the blue and red lines intersect at (-2,0)

if we compare this to your question, it is clear that [?] = 0

Find the missing length indicated

I WILL GIVE BRAINLIEST TO CORRECT ANSWER

Answers

Answer:

a 9 cause they both expand by one

Ya the person in front of me is 100 percent correct the answer is 9

A gym employee is paid monthly. After working for three months, he had earned $4,500. To determine how much money he will make over a six-month period, he created the table below. If he continues to earn at the same rate, how much will he have earned after working 5 months?

Answers

The answer is 7,500.

4k + 2 - k + 7 just answer it

Answers

3k + 9 is the answer

Answer:

3k + 9

Step-by-step explanation:

If you dunno please don’t anwser, I wanna sleep tonight qwq I couldn’t sleep all night yesterday

Answers

⠀⠀ ⠀ ⠀⠀ [tex]\huge{\tt{\red{❥}\green{A}\purple{N}\pink{S}\blue{W}\orange{E}\red{R}}}[/tex][tex]\longmapsto- 1 = 7 - 6[/tex]

*WILL MARK BRAINLIEST*
Find the circumference of the circle.

A: 47,1 in
B: 22 in
C: 10.5 in
D: 35 in

Answers

Answer:

C≈47.12, or 47.1

Step-by-step explanation:

To find the circumference you just use the formula C=2[tex]\pi[/tex]r.

The radius of your circle is 7.5 which is half of 15, now multiply 2[tex]\pi[/tex](7.5) which gives you your answer!

An even easier way to do this is to use the other formula C=d[tex]\pi[/tex],

Just multiply your diameter (which is what was given to you) by pi and you also get your answer!

Hope this helps! :)

PLEEASSEEEE Answer ASAP. Due in 5 Minutes. 25 points!!!!!!!!!

Answers

Answer:

Here we will use the relationships:

[tex]a^n*a^m = a^{n + m}[/tex]

[tex](a^n)^m = a^{n*m}[/tex]

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

And a number:

[tex]a^n[/tex]

is between 0 and 1 if a is positive and larger than 1, and n is negative.

if a is positive and 0 < a < 1, then we need to have n positive such that:

0 < a^n < 1

A) [tex]5^3*5^{-4} = 5^{3 + (-4)} = 5^{-1}[/tex]

This is between zero and 1,

B) [tex]\frac{3^5}{3^{-6}} = 3^{5 - (-6)} = 3^{11}[/tex]

This is greater than 1, because the exponent is positive.

C) [tex](\frac{1}{4})^3*( \frac{1}{4})^2 = (\frac{1}{4})^{2 + 3} = (\frac{1}{4})^5[/tex]

Because a is smaller than 1, and the exponent is positive, then the expression is between 0 and 1.

D) [tex]\frac{(-7)^5}{(-7)^7} = (-7)^{5 - 7} = -7^{-2}[/tex]

The exponent is negative (and pair) then the expression is between 0 and 1.

Remember that when the exponent is pair, we always have that:

(-N)^m = (N)^m

So (-7)^-2 = 7^-2

A triangle has one angle that measures 70 degrees, one angle that measures 42 degrees, and one angle that measures 68 degrees. What kind of triangle is it?

Answers

Answer:

Scalene Acute Triangle

Step-by-step explanation:

The triangle above is an "acute triangle" because the measurement of each angle is less than 90°. However, there are three types of acute triangle and these are: Equilateral Acute Triangle, Isosceles Acute Triangle and Scalene Acute Triangle.

When all the angles have the same measurement of less than 90°, then it is an Equilateral Acute Triangle. If only two angles have the same measurement, it is an Isosceles Acute Triangle. If none of the angles are the same but all are less than 90°, which also means that the sides are also unequal, then it is an Scalene Acute Triangle.

The triangle above has different angle measurements of less than 90°. Therefore, it is an Scalene Acute Triangle.


What is the 23th term of the sequence
{20, 16, 12.8, ... }

Answers

Step-by-step explanation:

[tex]an = a1 + (n - 1)d \\ d = a2 - a1 \\ a1 = 20 \\ a2 = 16 \\ d = - 4 \\ an = 20 + (n - 1) \times - 4 \\ an = 20 - 4n + 4 \\ an = 24 - 4n \\ a23 = 24 - 4 \times 23 \\ a23 = - 68[/tex]

Help
PleSe due now!!!!!

Answers

Answer:

1/2

Step-by-step explanation:

3/6 = 1/2

Answer:

1/6

Step-by-step explanation:

in case of one fair die, each face has the same probability, thus, P of each number is equally 1/6

A mine worker is in a tunnel 25 feet below the ground. He descends another 13 feet. What is his final position? i already know that part of the answer is -25 -
but is it -25 - 13 or -25 - -13

Answers

Answer:  -25 - 13

This simplifies to -38

So the worker's final position is 38 feet below the ground.

A diagram is shown below.

==========================================================

Explanation:

Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.

To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.

For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.

Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13

The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.

------------------------------------

After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so

25+13 = 38

But the final answer is negative because we're starting underground and moving further underground.

We can write it like this

-25 - 13 = -(25+13) = -(38) = -38

Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.

Check out the diagram below.

PLEASE ANSWER ASAP. WILL GIVE BRAINLIEST

Answers

Answer:

I cant see that, its upside down.

Step-by-step explanation:

"David is three years older than Jim. Tom is 5 years yunger than Jim. The sum
5
of their ages is 34 year. Find their ages.​

Answers

Answer:

what are you saying

Step-by-step explanation:

this question is not correct

Last week Jack ran 18 miles more than Pranav. Jack ran 34 miles. How many miles did Pranav run?

Answers

Hello there!

Step-by-step explanation:

If Jack runs 34 miles, and Pranav runs 18 less, this signifies that we need to subtract 18 from Jack's total miles to get his miles ran.

34 - 18 = 16

Pranav ran 16 miles.

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

It's 130

Step-by-step explanation:

Help me pleaseeeeeeeee

Answers

The answer is 25 if you use the Pythagorean theorem a2 +b2=c2

Answer is 25 good luck!

The algebraic rule for a reflection over the x-axis is one for the following:
A. (x,y), -axis → (-x,y)
B. (x,y), -axis → 0,x)
C. (x,y), -axis → (x,- y)
D. (x,y)x-axis →(-x-y)

Answers

Answer:

C

Step-by-step explanation:

When reflecting around the x axis, the x value stays the same and the y- will change.

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