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

2. 4x + 3y = 15 Multiply this line by2 5x – 2y = 13 Multiply this line by 3 8x + 6y = 30 15x – 6y = 39 Now, the middle numbers are the same

3. 4x + 3y = 15Multiply this line by2 5x – 2y = 13 Multiply this line by 3 8x + 6y = 30 15x – 6y = 39 Now, the middle numbers are the same 1.Make sure that the middles are the same 2.If the signs are the Same SUBTRACT If the signs are Different ADD 23x = 69

4. 4x + 3y = 15Multiply this line by2 5x – 2y = 13 Multiply this line by 3 8x + 6y = 30 15x – 6y = 39 Now, the middle numbers are the same 1.Make sure that the middles are the same 2.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. 4x + 3y = 15Multiply this line by2 5x – 2y = 13 Multiply this line by 3 8x + 6y = 30 15x – 6y = 39 Now, the middle numbers are the same 1.Make sure that the middles are the same 2.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 5x – 2y = 13 Multiply this line by 3 8x + 6y = 30 15x – 6y = 39 Now, the middle numbers are the same 23x = 69 x = 69 ÷ 23 x = 3 1.Make sure that the middles are the same 2.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 (4 X 3) + 3y = 15 12 + 3y = 15 3y = 15 – 12 3y = 3 y = 1