Question

Solve x-3y=-6 and 2x-y=3 using equal value method

Answer 1

x = 3

y = 3

Explanation:

To solve x - 3y = -6 and 2x - y = 3 using equal value method, express othe same variable from each equation.

1st equation:

`x=3y-6`

2nd equation:

`2x=y+3\\ \\x=(1)/(2)(y+3)`

Equate the right sides of these expressions:

`3y-6=(1)/(2)(y+3)`

Multiply by 2:

`6y-12=y+3\\ \\6y-y=3+12\\ \\5y=15\\ \\y=(15)/(5)\\ \\y=3`

Substitute it into the first expression:

`x=3\cdot 3-6\\ \\x=9-6\\ \\x=3`