Solve using substitution 4x+2y=10
X-y=13

Your solution is (6, -7)

Step-by-step explanation:

4x + 2y = 10

x - y = 13

We want to solve for one variable at a time.

Let's start with x.

x - y = 13

Add y to both sides.

x = 13 + y

Now we have an expression for x.

Plug this into each instance of x in the first equation.

4x + 2y = 10

4(13 + y) + 2y = 10

Distribute the 4 across the parentheses.

52 + 4y + 2y = 10

Combine like terms.

52 + 6y = 10

Subtract 52 form both sides.

6y = -42

Divide both sides by 6.

y = -7

Now that we know y, plug its value back into the expression for x.

x = 13 + y

x = 13 + (-7)

Simplify.

x = 13 - 7

Subtract.

x = 6

Your solution is (6, -7).

Hope this helps!

828. all there is to it!

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