The solution is: x=5, y=2
Step-by-step explanation:
Given equations are:
[tex]-6x+2y=-26\ \ \ \ \ Eqn\ 1\\8x-8y=24\ \ \ \ \ \ \ Eqn\ 2\\Multiplying\ equation\ 1\ by\ 4\\4(-6x+2y)=4(-26)\\-24x+8y=-104\ \ \ Eqn\ 3\\Adding\ Eqn\ 2\ and\ Eqn\ 3\\-24x+8y+8x-8y=24-104\\-16x=-80\\dividing\ both\ sides\ by\ -16\\\frac{-16x}{-16}=\frac{-80}{-16}\\x=5\\Putting\ x=5\ in\ equation\ 1\\-6(5)+2y=-26\\-30+2y=-26\\Adding\ 30\ on\ both\ sides\\-30+2y+30=-26+30\\2y=4\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{4}{2}\\y=2[/tex]
Verification:
[tex]8x-8y=24\\Putting\ x=5\ and\ y=2\\8(5)-8(2)=24\\40-16=24\\24=24[/tex]
The solution is: x=5, y=2
Keywords: Linear Equations, Elimination method
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