Question

Solve the system of linear equations by graphing.

y = –y equals negative StartFraction 5 over 2 EndFraction minus 7.x – 7

x + 2y = 4

What is the solution to the system of linear equations?

(–4.5, 4.25)
(–1.7, –2.8)
(0, –7)
(3, 0.5)

Answer 1

Answer:

x=-4.5, y=-4.25

Step-by-step explanation:

Given the system of linear equations:

\begin{gathered}y=-\frac{5}{2}x-7 \\x+2y=4\end{gathered}

y=−

2

5

x−7

x+2y=4

In the attached graph, the red line represents the first equation and the blue line represents the second equation.

The point of intersection of the two lines is the solution of the system of linear equations.

From the graph, the solution of the system of linear equations is (-4.5,4.25)

That is:

x=-4.5, y=-4.25