Use the graph to state the solution for the system.

x – y = 3 (line a)
x + y = 3 (line b)

A.
(–3, 0)

B.
(0, –3)

C.
(3, 0)

D.
(0, 3)

Use the graph to state the solution for the system x y 3 line a x y 3 line b A 3 0 B 0 3 C 3 0 D 0 3 class=


Answer :

We watch where the two lines intersect.

And that is at  x = 3, and y = 0.

So it is (3, 0).  Option C.

The solution for the system is option (C) is correct.

What is linear equation?

"Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable".

For the given situation,

The equations expressed as

x – y = 3 (line a)

x + y = 3 (line b)

The solution for these equations can be obtained by plotting this in graph.

The graph below shows the the intersection of line a and line b at [tex](3,0)[/tex]that is the solution for the system.

Hence we can conclude that the solution for the system is option (C) is correct.

Learn more about linear equation here

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