Question

Solve the system of linear equations by graphing. y = –5/2 x – 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)

Step-by-step explanation:

Answer 2

Keywords

system; linear equations; graphing; solution

we have

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

$x+2y=4$

$x=4-2y$ ----> equation B

The system of linear equations is composed of equation A and equation B

Substitute the equation B in equation A

$y=-\frac{5}{2}[4-2y]-7$

$y=-10+5y-7$

$4y=17$

$y=17/4=4.25$

Find the value of x

$x=4-2[17/4]=-4.5$

The solution is the point $(-4.5,4.25)$

Using a graphing tool

see the attached figure

therefore

the answer is the option A

$(-4.5,4.25)$