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

1 Answer
Andrew D.
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

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