# How do you solve y=4x-3, 2y-3x=4?

Jan 11, 2017

$\left(2 , 5\right)$

#### Explanation:

Since we are given $y = 4 x - 3$ we can substitute this into the other equation and solve for x.

$\Rightarrow 2 \left(\textcolor{red}{4 x - 3}\right) - 3 x = 4$

distributing.

$8 x - 6 - 3 x = 4$

add 6 to both sides and simplify.

$5 x \cancel{- 6} \cancel{+ 6} = 4 + 6$

$\Rightarrow 5 x = 10$

To solve for x, divide both sides by 5

$\frac{\cancel{5} x}{\cancel{5}} = \frac{10}{5} \Rightarrow x = 2$

We can now substitute x = 2 into y = 4x - 3 to find y.

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