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Solve the system of equations - 8x + 3y = -17 and 3x - y = 7 by combining the
equlations.

User Fangxing
by
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1 Answer

2 votes

Given :

Two equations :

-8x + 3y = -17 ....1)

3x - y = 7 ....2)

To Find :

The solution of the system.

Solution :

Multiplying equation 2) by 3 and adding with equation 1), we get :

(-8x + 3y) + 3(3x - y) = -17 + 21

x = 4

Putting above value of x equation 2) we get :

12 - y = 7

y = 5

Therefore, solution of system is ( 4,5 ).

User Anatoly Sazanov
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7.5k points