Question

Solve the system of linear equations by graphing. y = –5/2x – 7 x + 2y = 4 What is the solution to the system of linear equations? A. (–4.5, 4.25) B. (–1.7, –2.8) C. (0, –7) D. (3, 0.5)

Answer 1

ANSWER

(–4.5, 4.25)

EXPLANATION

The first equation is

$y = - \frac{5}{2}x - 7$

This function is in the slope-intercept form

The second equation is:

x + 2y = 4

2y =-x+ 4

$y = - \frac{1}{2}x + 2$

The graph of the two functions are shown in the attachment.

The point of intersection represents the solution to the system of equations they represent.

The solution is

(–4.5, 4.25)