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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.
 Q 1: Solve, 4x + 5y = 50 and 3x + 2y = 27.(5,6)(4,7)(7,4)(6,5) Q 2: Solve, 1/x + 2/y = 8 and 2/x + 3/y = 13.(3,5)(5,3)(1/2,1/3)(1/3,1/2) Q 3: Solve, 5x + 2y = 24 and x + 3y = 10.(4,2)(5,3)(2,4)(3,5) Q 4: Solve, 1/x + 3/y = 7 and 3/x + 4/y = 11.(1/2,1)(2,1/2)(1/2,2)(1,1/2) Q 5: Solve, x + 2y = 5 and 3x + 2y = 7.(4,5)(2,1)(5,4)(1,2) Q 6: Solve, x + y = 19 and x - y = 5.(7,12)(4,5)(12,7)(5,4) Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!