Math  /  Algebra

QuestionFind the solution of the system of equations. 5x2y=16x+4y=46\begin{array}{l} -5 x-2 y=-1 \\ -6 x+4 y=-46 \end{array}
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Studdy Solution
Verify the solution by substituting x=3 x = 3 and y=7 y = -7 into both original equations:
For Equation 1:
\[ -5(3) - 2(-7) = -1 $
\[ -15 + 14 = -1 $
This is correct.
For Equation 2:
\[ -6(3) + 4(-7) = -46 $
\[ -18 - 28 = -46 $
This is also correct.
The solution to the system of equations is:
\[ \boxed{(3, -7)}$

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