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Vika [28.1K]
3 years ago
8

What is the solution to the system of equations below? y = 1/4x + 2 and 3y = - 3/4x -6

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0

Answer:

{y = x/4 + 2, 3 y = -(3 x)/4 - 6}

Step-by-step explanation:

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9<br> Apply index law three to simplify each of the following.<br> a<br> (m2)<br> b<br> 6(p^)
lisabon 2012 [21]

Answer:

  • <u><em>See the law and the hypothetical example below.</em></u>

Explanation:

The <em>index law</em> that you are dealing with is:

            \dfrac{a^m}{a^n}=a^{m-n}

It is used when you have the quotient of powers with the same base.

To show you how to use that rule, let's work an example

Simplify:

              \dfrac{9a(m^2)}{6b(m^4)}

Factor 9 as 3² and 6 as 2×3:

         \dfrac{3^2a(m^2)}{2\times 3b(m^4)}

Group the factor with equal base:

           \dfrac{a}{2b}\times \dfrac{3^2}{3}\times \dfrac{m^2}{m^4}

Use the index law:

            \dfrac{a}{2b}\times {3^{(2-1)}}\times m^{(2-4)}\\\\\\ \dfrac{a}{2b}\times3\times m^{-2}\\\\\\\dfrac{3a}{2bm^2}

Note that it was used an additional rule:           a^{-n}=\dfrac{1}{a^n}

Thus,           m^{-2}=\dfrac{1}{m^2}

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