Question

Tell whether the ordered pair is a solution of the linear system.

(4, -1)
x + 2y = 2
x - 2y = 6 ​

Answer 1

(4,-1) is a solution

Explanation:

x + 2y = 2

x - 2y = 6

We want to see if (4,-1) is a solution to the system.

To do so we plug in x = 4 and y = -1 into both equations and if it is true then the ordered pair is a solution but if one of the equations isn't true then the solution isn't a solution

x + 2y = 2

==> plug in x = 4 and y = -1

4 + 2(-1) = 2

==> multiply 2 and -1

4 - 2 = 2

==> subtract 2 from 4

2 = 2

x - 2y = 6

==> plug in x = 4 and y = -1

4 - 2(-1) = 6

==> multiply -2 and -1

4 + 2 = 6

==> add 4 and 2

6 = 6

Both equations are true therefore (4,-1) is indeed a solution to the system