1. Simultaneous Equations with Different Numbers in the Middles
4x + 3y = 15
5x – 2y = 13
Different Numbers

2. 4x + 3y = 15Multiply this line by2
Now, the middle numbers are the same

3. 23x = 69 4x + 3y = 15Multiply this line by2
Now, the middle numbers are the same
Make sure that the middles are the same
If the signs are the Same SUBTRACT
If the signs are Different ADD
23x = 69

4. 23x = 69 x = 69 ÷ 23 4x + 3y = 15Multiply this line by2
Now, the middle numbers are the same
Make sure that the middles are the same
If the signs are the Same SUBTRACT
If the signs are Different ADD
3. Find the value of x
23x = 69
x = 69 ÷ 23

5. 23x = 69 x = 69 ÷ 23 x = 3 4x + 3y = 15Multiply this line by2
Now, the middle numbers are the same
Make sure that the middles are the same
If the signs are the Same SUBTRACT
If the signs are Different ADD
3. Find the value of x
23x = 69
x = 69 ÷ 23
x = 3

6. 4x + 3y = 15 Multiply this line by2
Now, the middle numbers are the same
23x = 69
x = 69 ÷ 23
x = 3
Make sure that the middles are the same
If the signs are the Same SUBTRACT
If the signs are Different ADD
3. Find the value of x
4. Use this to find the value of y
4x + 3y = 15
(4X 3) + 3y = 15
12 + 3y = 15
3y = 15 – 12
3y = 3
y = 1