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### High School Mathematics10.10 Solving Equations

 Example: Solve, x + y = 7 and x - y = 3. Solution: Given that, x + y = 7 ---------(I) x - y = 3 ---------(II) Adding both equations, we get (x + y = 7) + (x - y = 3) x + y + x - y = 7 + 3 2x = 10 x = 10/2 x = 5 Substituting x value in equation (I) or (II) we get the value of y. x + y = 7 5 + y = 7 y = 7 - 5 y = 2 Therefore, the solution set is (5,2). Directions: Solve the following questions. Also write at least 10 examples of your own.

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### High School Mathematics10.10 Solving Equations

 Q 1: Solve, x + y = 19 and x - y = 5.(4,5)(12,7)(5,4)(7,12) Q 2: Solve, x + y = 24 and x - y = 10.(17,7)(8,7)(7,8)(7,17) Q 3: Solve, x + 3y = 10 and 3x + 2y = 9.(3,1)(2,5)(1,3)(5,2) Q 4: Solve, 5x + 2y = 24 and x + 3y = 10.(5,3)(4,2)(2,4)(3,5) Q 5: Solve, x + 2y = 5 and 3x + 2y = 7.(5,4)(1,2)(2,1)(4,5) Q 6: Solve, 4x + 5y = 50 and 3x + 2y = 27.(4,7)(5,6)(7,4)(6,5) Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!