Choose the graph that matches the following system of equations: 8x + 5y = −5 7x − 3y = 3 (6 points)

Attachment for graph.

Step-by-step explanation:

We have to plot the  graph for the given linear equation.

Consider the given system of linear equation

8x + 5y = −5   ........(1)

7x − 3y = 3  ........(2)

We first find the points of each equation

Consider (1)  8x + 5y = -5

at x = 0

(1) ⇒ 8(0) +5y = - 5 ⇒ y = -1

at x = -1

(1) ⇒ 8(-1) +5y = - 5 ⇒ 5y = -5 + 8 ⇒ y = 0.6

Thus points are  (0, -1) and (-1 , 0.6)

Consider (2)  7x − 3y = 3

at x = 0

(1) ⇒ 7(0) − 3y = 3  ⇒ y =  -1

at x = 1

(1) ⇒ 7(1) − 3y = 3 ⇒ -3y = 3 -7 ⇒ y = 1.33

Thus points are  (0, -1) and (1 , 1.33)

Now we plot these point and obtained graph.

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