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How do you do the elimination method for 4x plus y equals 7 and 2x-3y equals -7?
Wiki User
∙ 14y ago
We have the given equations 4x+y=7 2x-3y=-7
First we want to make it so that we have a variable with the same coefficient in both equations. We will use the x.
so we have 4x+y=7 and 2x-3y=-7. We can multiply or divide both sides of either equation by the same number without changing the equation, so we will take
2x-3y=-7
times 2
2(2x-3y)=2(-7)
distribute
4x-6y=14
now we can use elimination.
4x+y=7
-(4x-6y=-14)
7y=21
divide by 7
7y/7= 21/7
y=3
Now we plug 3 into one of the original equations.
4x+3=7
subtract
4x+3-3=7 -3
4x=4
divide
4x/4= 4/4
x=1
so, the solution to our system of equations is (1,3)
Wiki User
∙ 14y ago
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