Simultaneous Equations with Different Numbers in the Middles

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

• Make sure that the middles are the same
• 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

• 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
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

• 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 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

• 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