How do you solve the system of equations 3x + 2y = 2 and x = 2y - 10?

1 Answer
Jun 8, 2018

Via Substitution

Explanation:

Input 2y-10 into the first equation wherever you see x

So, 3(2y-10)+2y=2

Now you can solve for y the same way you would solve for x in this equation. (Isolate the variable and simplify until you get y=c where c is a constant [number])

then, once you've solved for y replace y with your number c into either equation, but solve for x this time.

If y=c=-4 for example, I would solve for x like this

x=2(-4)-10
x=-8-10
x=-18
Then, I'd answer the system of equations with
y=-4 and x=-18