3 years ago

When you isolate the variable, the goal is to get the variable

Mathematics

1 answer:

eduard3 years ago

4 0

Answer:

by itself on one side of the equal sign and value on the other

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Step-by-step explanation:

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It may be useful to use improper fractions.

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5/3 = y

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Solve the system of equations using substitution<br> 4x + 2y = 16<br> =−12+5

mario62 [17]

Answer:

$x=\frac{70}{11},\:y=\frac{20}{11}$

Step-by-step explanation:

$\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}$

$\mathrm{Substitute\:}y=-\frac{1}{2}x+5$

$\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

$Simplify$

$\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

Isolate x for 3x+10=16(-1/2x+5): $x=\frac{70}{11}$

$\mathrm{For\:}y=-\frac{1}{2}x+5$

$\mathrm{Substitute\:}x=\frac{70}{11}$

$y=-\frac{1}{2}\cdot \frac{70}{11}+5$

$-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}$

$y=\frac{20}{11}$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=\frac{70}{11},\:y=\frac{20}{11}$

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