How do I use elimination to find the solution of the system of equations #y=1/3x+7/3# and #y=−5/4x+11/4#?
You multiply each equation by the LCM of the denominators and then solve by elimination as usual.
Step 1: Multiply each equation by the least common multiple (LCM) of the denominator.
Multiply Equation 1 by
Step 2: To solve by elimination, multiply Equation 3 by
Step 3: Add the two equations.
Step 4: Substitute Equation 6 into Equation 3.
The solution is
Substitute in Equation 1.
Substitute in Equation 2.