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4(x + 3) = 2x + 8The first step in solving this equation is to expand the brackets on the left hand side. A bracket means that the contents of the bracket should be multiplied by whatever is outside of th...

2x + 14 = 18Whatever you do on one side, e.g. LHS, you do the same on the RHS.-14 from both sides 2x + 14 (-14) = 18 (-14)2x = 4To get x by itself you need to divide it by 2. so you divide LHS and RHS by ...

And integer is a whole numberLet the integer = 2X meaning it is even and the next number is (2X+1) making it oddTherefore the sum of the two consecutive integers is2X + 2X + 1=4X+1As this cannot be factor...

look for a common factor. See that 3 divides 3, -6 and 9. Then see that x and y divide the equation also. so write 3xy(x²y-2x+3) and this is your answer.
 

Draw a diagramRearrange the given equation into the form y = mx + cy = -3/2x+7/2Gradients of perpendicular lines - m1*m2=-1, so gradient of PQ = 2/3PQ : y=mx+c -> 4=(2/3)*3+cc=2, therefore PQ: y=2/3x+2...