Question

Is (3,-2) a solution to the system below? How do you know?

(y + 4x = 10
y +
15x - y = 13


PLEASE HELP!

Answer 1

Explanation:

you know by using the x and y coordinates of the point in the equations and see, if both equations are still true.

if yes, it was a solution, and if just only one is false, then it was not a solution.

(3, -2) in

y + 4x = 10

5x - y = 13

so,

-2 + 4×3 = 10

-2 + 12 = 10

10 = 10 true

5×3 - (-2) = 13

15 + 2 = 13

17 = 13 false

so, it was NOT a solution.