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4x – 3y = 20
2x + y = 30
Using the two equations above, solve for y.

User Xdg
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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.

User Jesuisme
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