algebra

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A. Solving Simultaneous Equations.. Solving Simultaneous equations by elimination. Adding coefficients. Subtracting coefficients. changing coefficients.. . . Solving simultaneous equations by elimination.. Eliminating unknowns by adding the equations: y 2x = 193y

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1. Algebra Equations Level 8

3. Solving simultaneous equations by elimination. Eliminating unknowns by adding the equations: y + 2x = 19 3y – 2x = 17

4. Solving simultaneous equations by elimination. Eliminating unknowns by adding the equations: y + 2x = 19 3y – 2x = 17

5. Substitute for y = 9 in equation (1) y + 2x = 19 -9 -9 => (9) + 2x = 19 ÷2 ÷2 => 2x = 10 => x = 5 Check in equation (2): 3 y – 2 x = 17

6. Eliminating unknowns by subtraction: 3x - 2y = 19 x - 2y = 9 ÷2 ÷2 (1) – (2) => 2x = 10 x = 5

7. Substitute for x = 5 in equation (1) 3x – 2y = 19 => 3(5) – 2y = 19 +2y +2y => 15 – 2y = 19 - 19 -19 => 15 = 19 + 2y ÷2 ÷2 => -4 = 2y -2 = y

8. When the signs are different add the equations. When the signs are the same subtract the equations.

9. Simultaneous equations with different coefficients: y + 2x = 8 2y – x = 11

10. Simultaneous equations with different coefficients: y + 2x = 8 2y – x = 11

11. Simultaneous equations with different coefficients: y + 2x = 8 2y – x = 11

12. y + 2x = 8 (1) 2y – x = 11 (2)

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