Question

The ordered pair (3,9) is a solution to the system of

equations below because the values make both
equations true.
2x + 3 = y
2x + y = 15

Is (2,7) also a solution to this system of equations?
Yes
No
Explain your thinking.

Answer 1

(2,7) is not a solution to the given system of equations.

Explanation:

Given system of equation is:

2x + 3 = y

2x + y = 15

To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.

Putting x=2 and y=7 in Eqn 1

2(2) + 3 = 7

4 + 3 = 7

7 = 7

Thus the ordered pair satisfies the equation

Putting x=2 and y=7 in Eqn 2

2(2) + 7 = 15

4 + 7 = 15

11 ≠ 15

The ordered pair do not satisfy the second equation.

Hence,

(2,7) is not a solution to the given system of equations.