Answer:x = -9, y = -7
Explanation:
Equation 1) -x + 4y = -19
Equation 2) -3x + 3y = 6
Multiply ALL of equation 1 by 3 so that both equations include -3x in it.
1) 3(-x + 4y = -19)
Simplify.-3x + 12y = -57 → equation 3
Now, subtract equation 3 from equation 2.
-3x + 12y = -57
(-)-3x + 3y = 6
Simplify.
9y = -63
Divide both sides by 9.
9y ÷ 9 = -63 ÷ 9
Simplify.
y = -7
Now that we have the value for y, simply plug in -7 for y into equation 1.
1) -x + 4y = -19-x + 4(-7) = -19
Simplify.-x - 28 = -19
Add 28 to both sides of the equal sign.
-x - 28 + 28 = -19 + 28
Simplify.-x = 9
Divide both sides by -1.x = -9
Now we know that : x = -9, y = -7
To check our work, simply plug in -9 for x and -7 for y into equation 1.
1) -x + 4y = -19-(-9) + 4(-7) = -19
Simplify.
9 - 28 = -19-19 = -19
Therefore, x = -9, y = -7
Hope this helped! :)