SOLUTION: 2x + y - 8 = 0 y = x + 2/3 thank you

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Question 147010: 2x + y - 8 = 0
y = x + 2/3
thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Start with the given system
2x%2By-8=0
y=x%2B2%2F3



2x%2Bx%2B2%2F3-8=0 Plug in y=x%2B2%2F3 into the first equation. In other words, replace each y with x%2B2%2F3. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


%283%29%282x%2Bx%2B2%2F3-8%29=%283%29%280%29 Multiply both sides by the LCM of 3. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



6x%2B3x%2B2-24=0 Distribute and multiply the LCM to each side



6x%2B3x%2B2-24=0 Distribute


9x-22=0 Combine like terms on the left side


9x=0%2B22Add 22 to both sides


9x=22 Combine like terms on the right side


x=%2822%29%2F%289%29 Divide both sides by 9 to isolate x



Now that we know that x=22%2F9, we can plug this into y=x%2B2%2F3 to find y



y=%2822%2F9%29%2B2%2F3 Substitute 22%2F9 for each x


y=28%2F9 Simplify


So our answer is x=22%2F9 and y=28%2F9 which forms the ordered pair