Solve the simultaneous equations, 3x + 2y = 4 (1) 4x + 5y = 17 (2)

Solving simultaneous equations by elimination; firstly you would multiply the first equation by 4 to get another equation which we will name (3), and multiply the second equation by 3 to get another equation which we will name (4). This makes the coefficient of the x values the same, 12. Using this you can eliminate the x variable and find that the y value is 5 (can be shown using the whiteboard) Since we know what the y value is equivalent to, we can sub it into any equation and find the x value also. An additional step could be to check whether the solution is valid by inserting the solutions into another equation and seeing if it holds (can also be done on the whiteboard). Therefore, the final answer should be x = -2, y = 5

AP
Answered by Akash P. Maths tutor

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