Question

solve the simultaneous equations 3x+2y=6 2x+4y=12 by any method

Answer 1

Answer:

3x + y = 13

5x -2y = 7

The coefficient of y in Equation 1 is 1. So first we make y the subject of Equation 1:

y = 13 - 3x

Next, substitute this expression for y in Equation 2 and solve for x:

5x - 2(13 - 3x) = 7       Multiply out bracket

5x - 26 + 6x = 7       Combine like terms (x's on one side, numbers on the other)

11x = 33       Divide both sides by 11 to solve for x

x = 3  

Finally, substitute the solution for x into the expression for y:

y = 13 - 3(3) = 4

y = 4

So the solution to the pair of simultaenous linear equations is (3,4).

Answer 2

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