Question

For questions 5 and 6, solve the system using the Elimination method.

Answer 1

Answer:

$\boxed{x = 7~~and~~y = -3}$

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Step-by-step explanation:

5x + 3y = 26 (times 6) 30x + 18y = 156

6x + 7y = 21 (times 5) 30x + 35y = 105

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30x + 18y = 156

30x + 35y = 105    

-17y = 51

$y = \frac{51}{-17}$

y = -3

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Substitute the value of y to one of equations

6x + 7y = 21

6x + 7(-3) = 21

6x - 21 = 21

6x = 21 + 21

6x = 42

$x = \frac{42}{6}$

x = 7