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Simultaneous Equations with Different Numbers in the Middles

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

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Simultaneous Equations with Different Numbers in the Middles

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  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 themiddles 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 ofy 4x + 3y = 15 (4X 3) + 3y = 15 12 + 3y = 15 3y = 15 – 12 3y = 3 y = 1

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