5m - 3n = 19; m - 6n = -7 /pls. help me solve this linear equation with two variables.

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asked Aug 20, 2022 54.6k views

2 votes

5m - 3n = 19; m - 6n = -7 /pls. help me solve this linear equation with two variables.

Mathematics
high-school

Macabeus asked

by Macabeus

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1 Answer

4 votes

Answer:

m = 5, n = 2

Explanation:

$5m - 3 n = 19\\m - 6n = - 7 \ => m = -7 + 6n\\\\Substitute \ m \ in \ 5m - 3n = 19\\\\5(-7 + 6n) - 3n = 19\\-35 + 30n -3n = 19\\27n = 19 + 35 \\27n = 54 \\n = 2\\\\Substitute \ n = 2 \ in \ m = -7 + 6n\\\\m = -7 + (6 * 2) = -7 + 12 = 5$

Hamed Aj answered Aug 24, 2022

by Hamed Aj

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