Question

What is the solution of the system ?Use substitution
7x-3y=2
-2y+x=-6

Answer 1

Solve one equation for one variable. Then substitute what that variable is equal to in the other equation.
In this case, the second equation is easy to solve for x:
-2y + x = -6
Add 2y to both sides:
x = 2y - 6
Now that we have an equartion solved for x, and x = 2y - 6, we insert 2y - 6 in for x in the first equation:
7x - 3y = 2, insert 2y - 6 in for x:
7(2y - 6) - 3y = 2
Distribute the 7:
14y - 42 - 3y = 2
Combine like terms:
11y = 44
y = 4
Now insert the value of y in either of the original equation to get x. Let's use the second equation:
-2y + x = -6, but y = 4, so
-2(4) + x = -6
-8 + x = -6
Add 8 to both sides:
x = 2
Solution: x = 2, y = 4

Answer 2

Wow, THANK YOU so much.
I was so confused

Answer 3

You WERE confused. Did this help?