# How do you solve the system y=4x-5 and x=2 by substitution?

Mar 24, 2018

$x = 2$ and $y = 3$

#### Explanation:

The value of $x$ is given in the second equation, so all you have to do is substitute that value for $x$ in the first equation and then solve for $y$:
$y = 4 x - 5$
$y = 4 \left(2\right) - 5$
$y = 8 - 5$
$y = 3$

Mar 24, 2018

$\left(x , y\right) \to \left(2 , 3\right)$

#### Explanation:

$\text{we can substitute "x=2" directly into the other equation}$
$\text{and solve for y}$

$x = 2 \Rightarrow y = \left(4 \times 2\right) - 5 = 8 - 5 = 3$

$\text{the point of intersection } = \left(2 , 3\right)$
graph{(y-4x+5)(y-1000x+2000)((x-2)^2+(y-3)^2-0.04)=0 [-10, 10, -5, 5]}