# What are the ordered pairs for y=1/3x+4 , y=2x-1?

May 8, 2016

$\left(x , y\right) = \left(3 , 5\right)$

#### Explanation:

If $\textcolor{w h i t e}{\text{XXX}} y = \frac{1}{3} x + 4$
and $\textcolor{w h i t e}{\text{XX}} y = 2 x - 1$
then
$\textcolor{w h i t e}{\text{XXX}} 2 x - 1 = \frac{1}{3} x + 4$

$\textcolor{w h i t e}{\text{XXX}} \frac{5}{3} x = 5$

$\textcolor{w h i t e}{\text{XXX}} x = 1$
$\textcolor{w h i t e}{\text{XXXXXXX}}$and substituting this $\rightarrow y = \frac{1}{3} x + 4$

$\textcolor{w h i t e}{\text{XXXXXXXXXXXXXXXXXXXX}}$ gives $y = 5$