Question

Which of the following points is a solution of the system shown below

y=x+7
y=11-x
(1) (5, 12)
(2) (2, 9)
(3) (1, 10)
(4) (-4, 7)

Answer 1

Given the system of equations, y = x + 7 and y = 11 - x.

Use substitute method to find the value of x and y.

`\begin{gathered} x+7=11-x \\ 2x=4 \\ x=2 \end{gathered}`

So, y = 2+7 = 9.

Thus, the solution of the system of equation is (2,9).

So, option (2) is correct.