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The easiest way to solve these equations is by substitution. Rearrange the 6y=-x+64 equation into the form of x=64-6y. Replace x in the other equation with x=64-6y to produce y+5(64-6y)=30. Multiply out t...

As it states that it is a "linear" sequence. You can identify the pattern and recognise that the 4th and 5th terms will be, a+14b and a+18b respectively.As the 2nd term has the value 8. This mea...

Deploy the FOIL method; First Outer Inner Last(1+2x)(4x+3) = 4x+3+8x^2+6x = 8x^2 + 10x + 3

It is important to notice that this is the addition of two mixed fractions which firstly needs to be changed into improper fractions. Take 2 1/7 - first multiply the denominator by the whole number to giv...

First multiply the second equation by 2, so it becomes 2x + 12y = -8. Then subtract the second equation from the first one which gives (2x - 2x) + (-5y - 12y) = (9 - -8), -17y = 17. Therefore y = -1. Plug...