Quantitative Reasoning Example Problem #6

Don't be Afraid, Be Prepared!

Don’t be Afraid, Be Prepared!

If y=3x + 2 and y = -4 – 6x, what is the value of y?

The first step to answering this question is to recognize these equations are equal; both equations equal y, therefore each equation equals the other:

3x + 2 = -4 – 6x

3x = (-4) – 6x – 2

3x + 6x = -4 -2

9x = -6

x = -(6/9)

x = – (2/3)

Now that we have solved for x we can now determine the correct solution by plugging in the vale of x in either one of the above equations.

y = 3(- 6/9) + 2          y = -4 – [6(-2/3)]

y = – (18/9) + 2         y = -4 – (- 12/3)

y = (-2) + 2                y = -4 – (-4)

y = 0                         y = -4 + 4

y = 0

In both case the value of y equals 0

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