Question

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

Answer 1

there is no graph provided to choose from

Answer 2

Attachment for graph.

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.