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3 years ago

Solving systems of equations by substitution y= x - 8 y = -4

Mathematics

1 answer:

leva [86]3 years ago

4 0

It should be x=-4 and y= -12

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Solve the system of equations by substitution. Show your work in the sketch and write your answer as an ordered pair.

Ede4ka [16]

Let's solve your system by substitution.

−3x+y=−2;y=4x

Rewrite equations:

y=4x;−3x+y=−2

Step: Solvey=4xfor y:

y=4x

Step: Substitute4xforyin−3x+y=−2:

−3x+y=−2

−3x+4x=−2

x=−2(Simplify both sides of the equation)

Step: Substitute−2forxiny=4x:

y=4x

y=(4)(−2)

y=−8(Simplify both sides of the equation)

Answer:

x=−2 and y=−8

3 0

3 years ago

Divide 2/8 by 9/18 . Input your answer as a reduced fraction.\

Katen [24]

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{2}{8}\div\frac{9}{18} }} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Simplify \ \frac{2}{8} \ to \ \frac{1}{4}. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\div\frac{18}{9} }} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule: a\div \frac{b}{c}=a\times \frac{c}{b}a \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{4}\times\frac{18}{9} }} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf Use \ this \ rule: \frac{a}{b} \times \frac{c}d{}=\frac{ac}{bd}. \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1\times18}{4\times9} \ \to \ \ Multiply }} \end{gathered}$}$

$\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{ \frac{18}{36}= }}\boxed{\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{\sf{\frac{1}{2} }} \end{gathered}$}} \end{gathered}$}$

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salantis [7]

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0, 5, 8, 9, 8, 5, 0

Step-by-step explanation:

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Which of the following satisfies 3x+1=4 (mod 9) ?

Ymorist [56]

Got it. Hope this will help.

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