Answer:
x = 3
y = 3
Step-by-step explanation:
To solve x - 3y = -6 and 2x - y = 3 using equal value method, express othe same variable from each equation.
1st equation:
[tex]x=3y-6[/tex]
2nd equation:
[tex]2x=y+3\\ \\x=\dfrac{1}{2}(y+3)[/tex]
Equate the right sides of these expressions:
[tex]3y-6=\dfrac{1}{2}(y+3)[/tex]
Multiply by 2:
[tex]6y-12=y+3\\ \\6y-y=3+12\\ \\5y=15\\ \\y=\dfrac{15}{5}\\ \\y=3[/tex]
Substitute it into the first expression:
[tex]x=3\cdot 3-6\\ \\x=9-6\\ \\x=3[/tex]
