99 POINTSSolve the system using elimination. Show your work.2x – 3y = 18x + y = 14Check my answer.Solve the system using substitution.x = y – 32x + 4y = 16Substitute x for y-3 to get y:2x + 4y = 162(y-3) + 4y = 162(y) 2(-3) +4y (distribute) = 2y -6 +4y2y - 6 +4y (combine like terms) = 6y -66y -6 +6 = 16 +6 (get rid of -6)= 6y=226y/6=22/6 (get y)= y=3.6Substitute y for 3.6 to get x:x = y-3x = 3.6 - 3 = 0.6x = 0.6Final:(0.6, 3.6)
Accepted Solution
A:
2x-3y=18x+y=14Want to find y first. Eliminate x. Multiply by 2 for x+y=142(x+y)=2(14)=2x+2y=282x-3y=182x+2y=28Minus next:2x-2x-3y+-2y=18-28-3y-2y=-10-5y=-10Divide by -5 -5y/-5=-10/5y=2Substitution method2x-3y=182x-3(2)=182x-6=18Move -6 to the other side. Sign changes from -6 to +6.2x-6+6=18+62x=24Divide by 22x/2=24/2x=12Answer: (12,2)