Question

Is (1,5) a solution to this system of equations?
y=–3x+7
y=3x+2

Answer 1

No solution for y = -3x + 7

Solution for y = 3x + 2

Explanation:

Substitute 1 for x and 5 for y and see if the equations are equal.

y = -3x + 7

5 = (-3)(1) + 7

5 = -3 + 7

5 = 4 Not a solution. False statement

y = 3x + 2

5 = 3(1) + 2

5 = 3 + 2

5 = 5 This is a solution. True statement.

Answer 2

y=3x+2 is the solution to this systems equation because when you plug in the values, you get:

5 = 3(1) + 2

5 = 5

Since they equal each other, that means that the second equation is correct.