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

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

User Macabeus
by
7.9k points

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

User Hamed Aj
by
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