Question

Four times a number, x, plus 3 times a number, y, equals 75. Five times x minus 3 times y equals 6. Find the numbers by setting up a system of linear equations and solving the system using the elimination method.

Answer 1

X=9 y=13
4x+3y=75;5x−3y=6
Step: Solve4x+3y=75for x:
4x+3y+−3y=75+−3y(Add -3y to both sides)