SOLUTION: Please show me how to use the substitution method to solve this system of equations. 3x-11y=2 x-5y=2 Thanks

Question 176262: Please show me how to use the substitution method to solve this system of equations.
3x-11y=2
x-5y=2
Thanks
Found 2 solutions by EMStelley, MathTherapy:
Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!

The substitution method involves using one equation to solve for one of the variables, and then substituting back in to the other equation. For example, in the second equation we can easily solve for x by adding 5y to both sides, obtaining

Now, we replace the x in the first equation with 5y+2,
and solve for y

To find x, we plug in y=-1 into either equation. I will use the second one for simplicity:

So the solution is (-3,-1).
Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!
3x - 11y = 2
x - 5y = 2
x = 5y - 2
Substituting this value for x in equation 1, we get:
3(5y + 2) - 11y = 2
15y + 6 - 11y = 2
4y = - 4
y = - 1
x - 5(-1) = 2
x + 5 = 2
x = - 3
Solution: (- 3, - 1)

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