Question

Solve the following pair of equations by the method of substitution.
2x+3y=33, 11x-9y=-52​

Answer 1

Step-by-step explanation:

2x+3y=33---(1)

11x-9y=-52----(2)

From eq.--(1)

2x+3y=33

2x=33-3y

x=33-3y/2---(3)

Substitute the value of x in eq.--(2)

11x-9y=-52

11[33-3y/2]-9y=-52

[363-33y/2]-9y=-52

363-33y-18y=-104

363-51y=-104

-51y=-104-363

-51y=-467

y=467/51

Substitute the value of y in eq.---(3):

x=33-3y/2

x=33-3[467/51]\2