# 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#?

##### 1 Answer

You multiply each equation by the LCM of the denominators and then solve by elimination as usual.

#### Explanation:

**(1)**

**(2)**

**Step 1: Multiply each equation by the least common multiple (LCM) of the denominator.**

Multiply Equation 1 by

**(3)**

**(4)**

**Step 2: To solve by elimination, multiply Equation 3 by #5#.**

**(5)**

**(4)**

**Step 3: Add the two equations.**

**(6)**

**Step 4: Substitute Equation 6 into Equation 3.**

The solution is

**Check:**

Substitute in Equation 1.

Substitute in Equation 2.