Simultaneous Equations with Different Numbers in the Middles

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

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

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

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

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

4 x + 3 y = 15 Multiply this line by 2 5 x – 2 y = 13 Multiply this line by 3 8 x + 6 y = 30 Now, the middle numbers are the same 15 x – 6 y = 39 23 x = 69 1. Make sure that the middles are x = 69 ÷ 23 the same x=3 2. If the signs are the Same 4 x + 3 y = 15 SUBTRACT (4 X 3) + 3 y = 15 3. If the signs are Different 12 + 3 y = 15 ADD 3 y = 15 – 12 4. 3. Find the value of x 3 y = 3 5. 4. Use this to find the value of y y=1