# How do you solve the simultaneous equations #3x+7y=26# and #4x+5y=13#?

##### 2 Answers

I found:

#### Explanation:

I would multiply the first equation by

So:

Substitute back this value into the first equation:

#### Explanation:

One way is to use the method of elimination.

**Step 1. Enter the equations.**

**Equation (1) **

**Equation (2) **

**Step 2. Prepare the equations.**

Multiply every term in each equation by a number so that equal terms can be eliminated.

Multiply Equation (1) by

**Equation (3)**

**Equation (4)**

**Step 3. Subtract Equation (4) from Equation (3).**

**(3)**

**(4)**

**(5)**

#y = 65/13#

**Equation (6)**

**Step 4. Substitute Equation (6) in Equation (2).**

**Solution:**

**Check:** Substitute the values of