Question

Which graph represents the solution to the following system of linear equations? x + y = 8
x - y =4

Answer 1

Therefore the solution is x=6, y=2.

Answer 2

Refer the attached figure.

Step-by-step explanation:

Given : Linear equations $x+y=8$ and $x-y=4$.

To find : Which graph represents the solution to the following system of linear equations?

Solution :

The equation $x+y=8$ plotted with red line passing through (8,0) and (0,8).

The equation  $x-y=4$ plotted with blue line passing through (4,0) and (0,-4).

The solution of the equation is the intersection point.

The intersection point is (6,2).

Therefore, the solution to the following system of linear equations is (6,2).

Refer the attached figure below.

#Learn more

Draw graph for x+y=5 ; x-y=8

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