Hello Robyn,
Two equations given are
2x - 6y = -10 -------------->equation 1
4x = 10 + 6y -------------->equation 2
We'll solve this problem using the elimination method.
Solve equation 2
4x = 10 + 6y (given)
-6y -6y (subtract 6y from both sides)
_______________
4x - 6y = 10 ------------------>new equation 2
Multiply equation 1 by -1 on both sides you'll get
-1(2x - 6y) = -1 (-10)
-2x + 6y = 10 -------------------> new equation 1
Add new equation 1 and new equation 2 to eliminate the y term you'll get
-2x + 6y = 10
4x - 6y = 10
_______________
2x = 20
(2x)/2 = 20/2 (divide both sides by 2)
x = 10 (answer)
Now, substitute the value of x in equation 1
2x - 6y = -10 (given)
2(10) - 6y = -10 (since, x = 10)
20 - 6y = -10
-20 -20 (subtract 20 from both sides)
_________________
-6y = -30
(-6y)/-6 = -30/-6 (divide by -6 on both sides)
y = 5 (answer)
Good luck
