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Substitution 4x-2y=10 y=2x-5

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4x - 2y = 10

y = 2x - 5

Because we have a value for y, we can plug it into the first equation to solve for x.

4x - 2(2x - 5) = 10

Distributive property.

4x - 4x + 10 = 10

Combine like terms.

10 = 10

The equation is true, and so there are infinite solutions, meaning both lines are on top of each-other.

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