Question

solve the linear equation by elimination method 3x - 4y = 10 and 2x - 2y = 2

Answer 1

3x-4y=10
3x-4y-10=10-10
3x-4y=0
3x-4y+4y=4y
3x=4y



2x-2y=2
2x-2y-2=2-2
2x-2y=0
2x-2y+2y=2y
2x=2y

Answer 2

Given equations

$3x-4y=10--(1)\\2x-2y=2--(2)$

Multiplying the second equation by 2, we get,

$4x-4y=4--(3)$

Solving (1) and (3), we get,

$3x-4y=10\\\underline{4x-4y=4}\\\underline{\underline{-x=6}}\\\implies x = -6$

Substituting the value of x in the second equation, we get,

$\implies 2(-6)-2y=2\\\implies -12-2y=2\\\implies -2y=2+12\\\implies -2y=14\\\implies y = -7$

$\boxed{\boxed{\bold{Therefore, \ the \ values \ of \ x \ and \ y \ are \ -6 \ and \ -7 \ respectively}}}}}}}}$