# How do you solve the following linear system: y = 4x - 13 , y-3x=-2 ?

Nov 20, 2015

$\textcolor{g r e e n}{x = 11}$

I will let you find the value of y. Follow my proposed action stated at the bottom of my solution!!

#### Explanation:

Given:

$y = 4 x - 13 \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . \left(1\right)$
$y - 3 x = - 2. \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \left(2\right)$

Write (2) as:
$y = 3 x - 2. \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots . . \left({2}_{a}\right)$

Using
Equation (1) $= y =$ Equation $\left({2}_{a}\right)$

$4 x - 13 = 3 x - 2$

Collecting like terms

$4 x - 3 x = 13 - 2$

$\textcolor{g r e e n}{x = 11}$

Substitute $x = 11$ into equation (1) to find the value of $y$

I will let you do that!