SOLUTION: Solve the folllowing system of equations algebraically:
3x+2y=4
4x+3y=7
Algebra.Com
Question 288639: Solve the folllowing system of equations algebraically:
3x+2y=4
4x+3y=7
Answer by brucewill(101) (Show Source): You can put this solution on YOUR website!
First, you need to eliminate one variable or the other; I'm choosing to eliminate x, by multiplying the first statement by 4, and the second statement by 3:
Now, subtract the first statment from the first:
Substitute for y into either equation (I choose the second)
To prove, substitute into both equations:
3(-2) + 2(5) = 16
-6 + 10 = 4
16 = 16.
4(-2) + 3(5) = 7
-8 + 15 = 7
7 = 7.
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