# How do you solve the system of equations: y=2x+1 and y=4x-1?

Jun 21, 2018

Here $x = 1$ and $y = 3$.

#### Explanation:

We have

$y = 2 x + 1$.......................$\left(A\right)$

and

$y = 4 x - 1$..................$\left(B\right)$

Subtracting $\left(B\right) - \left(A\right)$

$0 = 2 x - 2$

$x = 1$

Putting $x = 1$ in $\left(A\right)$ or $\left(B\right)$, we get

$y = 2 \cdot 1 + 1$

$y = 3$