Can you solve this math puzzle?

Solve for x and y given the following equations:

2x + 3y = 13

4x – y = 5

Think you know the answer?

To see the answer to the math puzzle, click to expand the accordion below.

x = 2 and y = 3

First, solve the second equation for y. In this case, y = 4x – 5

Next, substitute your new value for y into the first equation. In this case, 2x + 3(4x – 5) = 13

Then solve the remaining equation for x.

2x + 12 – 15 = 13

14x – 15 = 13

14x = 28

x = 2

Now substitute 2 for x into the original equation to solve for y:

y = 4(2) – 5

y = 8 – 5

y = 3

If you need a hint, click to expand the accordion below.

First solve an equation for y. And while it may not be a number, it’s still useful to take the next step.

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