Solve the simultaneous equations x+y=3 and-x+5y=-15.

Equation 1: x+y=3Equation 2: -x+5y=-15Step 1: Check to see if any variables (x or y) can be eliminated. As there is x in equation 1 and -x in equation 2, x can be eliminated by adding the equations together.Step 2: Add equation 1 and equation 2 together. This gives 6y=-12Step 3: Solve for y.6y=-12Divide both sides by 6.y=-2.Step 4: Solve for x.Substitute y=-2 into equation 1.x+(-2)=3x-2=3x=5Step 5: Check solutions by substituting into equation 2.-5+5(-2)=-15-5-10=-15This is correct therefore the solutions x=5 and y=-2 are correct.