Question

Write a system of equations with (4,-5) as its solution

Answer 1

Explanation:

I would start by choosing my coefficients for the 2 equations. I will choose 1 and 2 for the first equation and 3 and 4 for the second equation.

1x + 2y = ?

3x + 4y = ?

Now I need to figure what in on the right-hand side, so I would substitute in 4 for x and -5 for y.

1(4) + 2(-5) = 4 - 10 = -6, so my first equation would be x + 2y = -6

3(4) + 4(-5) = 12 - 20 = -8, and my second equation is 3x + 4y = -8