# How do you write the ordered pair for the equations y=-x+6 and y=3/4x-1?

Dec 28, 2016

The ordered pair is $\left(4 , 2\right)$.

#### Explanation:

The ordered pair for where the lines intersect can be determined by setting the equations equal to each other.
$y = - x + 6$
$y = \frac{3}{4} x - 1$

$- x + 6 = \frac{3}{4} x - 1$
$- \frac{7}{4} x + 6 = - 1$
$- \frac{7}{4} x = - 7$
$x = \left(- 7\right) \cdot \left(- \frac{4}{7}\right)$
$x = 4$

$y = - \left(4\right) + 6$
$y = 2$

The ordered pair is $\left(4 , 2\right)$.