Final answer:
To solve for y in the given system of equations, use the method of substitution. Step by step, isolate y in one equation and substitute the value into the other equation to solve for x. Then substitute the value of x into one of the original equations to find y.
Step-by-step explanation:
To solve for y, we can use the method of substitution. First, isolate y in the second equation:
2x + y = 30
y = 30 - 2x
Now substitute this value of y into the first equation:
4x - 3(30 - 2x) = 20
Simplify the equation:
4x - 90 + 6x = 20
Combine like terms:
10x = 110
Divide both sides by 10:
x = 11
Now substitute this value of x into the second equation to find y:
2(11) + y = 30
22 + y = 30
Subtract 22 from both sides:
y = 8
Therefore, the solution is x = 11 and y = 8.