solve the system of equation by using the substitution metho

solve the system of equation by using the substitution method:

2(x+y)=2-y

4x-1=2-5y

Solution

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Given

2(x+ y) = 2 - y

=> 2x + 3y = 2

=> x = (2 - 3y )/2 .................................(1)

Equation (2) given as 4x -1 = 2 - 5y

Substituting value of x from equation (1) in equation (2)

4 (2 - 3y)/2 = 3 - 5y

4 - 6y = 3 - 5y

=> y = 1

=> x = -1/2

Solution