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We first expand the first set of brackets by multiplying each element of it by the second set of brackets so (x + 1)(2x + 3) = (x)(2x + 3) + (1)(2x + 3) = x(2x + 3) + (2x + 3). We can then expand out the ...

x=4, y=-2

Using the elimination technique:As we have -2y in both equations we can take the equations away from each other in order to eliminate -2y and create a new linear equation involving only x. this equation w...

The question can be written algebraically, as:(a) 3t + 2c = 7.80(b) 5t + 4c = 14.20To work out the individual costs, we need to make one of the sets of variables equal. We can do this by multiplying the e...

Where the angles of a triangle A+B+C = 180 degrees, then if follows that (where A = 90, B = 2x + 30, C = 2x):180 = 90 + 2x + 30 + 2x180 = 120 + 4x60 = 4x15 = xTherefore, it follows that A = 90, B = 60, C ...