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Solve the system by substitution.
y=2x-10
3x-7y=37

User MUlferts
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1 Answer

2 votes

Answer: (3, -4)

Step-by-step explanation: To solve this system of equations by substitution, the idea is simple.

Since our first equation tells us that y = 2x - 10, this means that we can substitute a 2x - 10 in for the y in our second equation.

In other words, since y means the same thing as 2x - 10, we can replace the y in the second equation with a 2x - 10.

If we rewrite our second equation, we have 3x - 7(2x - 10) = 37.

Solving from here, you should find that x = 3.

Now plug a 3 back in for the x in our first equation

to get y = 2(3) - 10 or 6 - 10 which is -4.

So our solution is (3, -4).

User Mzuba
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