Solve this simultaneous equation: 2 + 5y = 3x, x + y = 6

step 1 - rearrange equation 2 to make x/y the subjecthow? example: subtract y from both sidesx = 6 - ystep 2 - substitute x = 6 - y into equation 1.how? where x is in the equation put in (6 - y)2 + 5y = 3 (6 - y)step 3 - expand the equationhow? multiply the left side of the equation by 3.2 + 5y = 18 - 3ystep 4 - rearrange equation to make y the subjecthow? + 3y on both sides, -2 on both sides8y = 16step 5 - what is y?how? divide both sides by 8y = 2step 6 - substitute the y-value into one of the equations to find xx = 6 - yx = 6 - 2x = 4step 7 - check your answers with the original equations2 + (5 x 2) = 3 x 4 2 + 4 = 6NB: other methods for solving the equation - multiplying one of the equations

PW
Answered by Phoebe W. Maths tutor

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