# How do you solve the system x-y = 1 and 4x+3y= 11 by graphing?

$x = 2$ & $y = 1$

#### Explanation:

Given system of linear equations:

$x - y = 1 \setminus \ldots \ldots \ldots . \left(1\right)$

$4 x + 3 y = 11 \setminus \ldots \ldots \ldots \ldots \left(2\right)$

Now, multiplying (1) by $3$ & adding to (2) as follows

$4 x + 3 y + 3 \left(x - y\right) = 11 + 3 \setminus \cdot 1$

$7 x = 14$

$x = 2$

setting $x = 2$ in (1) we get

$y = x - 1 = 2 - 1 = 1$