Question

What equation is solved by the graphed systems of equations?

Two linear equations that intersect at the point 7, 25.

3x + 4 = 5x - 10
3x - 4 = 5x - 10
3x + 4 = 5x + 10
3x - 4 = 5x + 10

Answer 1

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The best and most correct answer among the choices provided by the question is 3x + 4 = 5x – 10.        

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Answer 2

Answer:

$3x+4=5x-10$

Step-by-step explanation:

we know that

The solution of the linear system of equations is the intersection point both graphs

using a graphing tool

we have

$y=3x+4$ ------> equation A

$y=5x-10$ ------> equation B

To find the solution equate the equation A and equation B

$3x+4=5x-10$

Solve for x

$5x-3x=4+10$

$2x=14$

$x=7$

Find the value of y

$y=3x+4$ ------> $y=3(7)+4=25$

the solution is the point $(7,25)$

see the attached figure to better understand the problem