Answer:
(x, y) = (5, 2)
Explanation:
You want to use the elimination method to solve these equations:
Elimination method
To solve the equations by the elimination method you want to combine them in such a way that the coefficient of one of the variables is zero.
The coefficients of x are 4 and 3, so we can eliminate the x variable by multiplying the first equation by 3 and the second equation by -4 before we combine (add) them.
The coefficients of y are 2 and -4, so we can eliminate the y variable by multiplying the first equation by 2 before we combine (add) them. This seems simpler.
2(4x +2y) +(3x -4y) = 2(24) +(7)
11x = 55 . . . . . . . . simplify
x = 5 . . . . . . . . divide by 11
4(5) +2y = 24 . . . . . . substitute for x in the first equation
2y = 24 -20 . . . . . subtract 20
y = 2 . . . . . . . . divide by 2
The solution is (x, y) = (5, 2).
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