Elimination method

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Morgan Floyd Morgan Floyd
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Elimination method

Solve the system of equations by eliminating the x variable:

4x-10y=32

-x+3y=_9
Proof Proof
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Re: Elimination method

4x - 10y = 32            4x - 10y = 32
-x + 3y = 9  -------> -4x + 12y = 36   ← multiplied bottom equation by 4
                               -------------------
                                       2y = 68   ← added the two equations
                                         y = 34   ← divided by 2

-x + 3y = 9   ← bottom equation
-x + 3(34) = 9   ← substituted 34, in for y, into bottom equation
-x + 102 = 9   ← multiplied
-x = -93   ← subtracted 102 from each side
x = 93   ← divided each side by -1

x = 93 and y = 34

- Proof