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Solving a Quadratic Equation by Factorization Method

Solve by elim...

Question

Solve by elimination method 2x-3y=8 and 4x+6y=7

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Solution

Multiply the first equation by 2 and subtract equation-2 from it
2(2x)-2(3y)-4x-6y=2(8)-7
4x-6y-4x-6y =16-7
-12y = 9
Y= -3/4
Put this value of y in any of these equation to find X
Let's put it in equation 1
2x-3(-3/4)=8
2x+9/4 = 8
2x = 8-9/4
X= 23/2

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