Answer:
y = 34, x = -166
Step-by-step explanation:
Let's simplify the first equation.
5(x + 2y) - 3 = 3x + 5
We can multiply the 5 out:
5x + 10y - 3 = 3x + 5
Now let's isolate x on one side, although you can choose to isolate y if you want to. Subtract 3x on both sides:
2x + 10y - 3 = 5
Add 3 on both sides and subtract 10y on both sides.
2x = 8 - 10y
Divide 2 on both sides.
x = 4 - 5y
Now to the next equation!
4(x - 3y) - 50 = -33y
Multiply 4 out:
4x - 12y - 50 = -33y
Add 12y and 50 on both sides.
4x = -21y + 50
Now divide 4 on both sides!
x = -5.25y + 12.5
Now we have these equations:
x = 4 - 5y
x = -5.25y + 12.5
Therefore 4 - 5y = -5.25y + 12.5
Once again let's isolate the variable. Let's add 5.25y on both sides and subtract 4 on both sides:
0.25y = 8.5
Now multiply by 4 on both sides to bring y's coefficient to 1:
y = 34
Let's substitute the y value into the equation x = 4 - 5y to get x = 4 - 136 = -132
