Question

Solve 5x − 6y = −38
3x + 4y = 0

Answer 1

x = -76 , y = 57

Explanation:

5x - 6y = -38

3x + 4y = 0

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use 4 to multiply equation 1

5x(4) - 6y(4) = - 38(4)

20x -24y = -152

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use 6 to multiply equation 2

3x(6) + 4y(6) = 0(6)

18x + 24y = 0

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20x - 24y = -152

18x + 24y = 0

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2x = -152

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divide 2 by both sides

x = -76

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to find y, slot in the of x to either equation 1 or 2

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equation 2

3x + 4y = 0

3(-76) + 4y = 0

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-228 + 4y = 0

4y = 228 - 0

4y = 228

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divide both sides by 4

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y = 57

for this type of question, you can use

1. substitution method
2. elimination method
3. graphical method

i used substitution method

hope it helps