Problem 620

Solve by the elimination method

 

4x-5y=67………………(1)

7y=-25-3x………………(2)

 

What is the solution of the system?

 

Solution:-

 

Multiply equation 1 by 3  and   and multiply equation 2 by 4

12x-15y=201………(3)

12x+28y=-100……….(4)

Subtract  equation 4 from equation 3

12x-15y-12x-28y=201+100

-43y=301

Y=-7

Put this value in equation 1

4x-5(-7)=67

4x=67-35

X=32/4

X=8

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