Math  /  Algebra

Question4. {5m+9n=212m+2n=14\left\{\begin{array}{l}-5 m+9 n=21 \\ 2 m+2 n=14\end{array}\right.

Studdy Solution
Verify the solution by substituting m=3m = 3 and n=4n = 4 into the original equations:
1. Check the first equation: $ -5m + 9n = 21 \implies -5(3) + 9(4) = -15 + 36 = 21 \quad \text{(True)} \]
2. Check the second equation: $ 2m + 2n = 14 \implies 2(3) + 2(4) = 6 + 8 = 14 \quad \text{(True)} \]
The solution to the system of equations is:
m=3,n=4m = 3, \quad n = 4

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