Solve the simultaneous equations 5x+y=8 and 5x+5y=7.

The system would equal (1.65,-0.25)

You can use substitution for this. But first we need to put one of the equations into the value of y or x. We can use 5x+y=8 and solve for the value of y. Subtract 5x on both sides and you’ll get the value of y which will look like y=-5x+8.

Next substitute in y for 5y in 5x+5y=7 so that you get 5x+5(-5x+8)=7. Next distribute and you’ll get 5x-25x+40=7, add like terms and you’ll get -20x+40=7. Next you want to subtract by 40 on both sides and you’ll get -20x=-33. Isolate x by dividing by -20 on both sides and you’ll get x=33/20 or 1.65.

Next that you have the x value solve for y by plugging in 1.65 for x in 5x+y=8 and you’ll get 5(1.65)+y=8, distribute and subtract 8.25 on both sides and it will leave you with y=-0.25.

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