Question

A student uses the substitution method to solve the system of equations below algebraically.

2x - y = 5
3x + 2y = -3

Which equivalent equation could be used?

Answer 1

Solve the first equation for "y" and you get: y = 2x - 5.

That is the equivalent equation that answers the question.

To solve the system, you substitue it for "y" in the second equation and you obtain:

3x + 2 (2x - 5) = -3

Now you have one equation with one single variable, "x" which you can solve easily.

Please, let me know if you could follow the explanation.