# How do you solve the system by graphing -3x - y = -3 and 5x + y = 5?

May 24, 2018

$x = 1 , y = 0$

#### Explanation:

Here we have two linear equations in $x \mathmr{and} y$.

$- 3 x - y = - 3 \to y = - 3 x + 3$

$5 x + y = 5 \to y = - 5 x + 5$

To solve by graphing we simply plot the two lines, then the point where they intersect is the solution point $\left(x , y\right)$

As below:

graph{(-y-3x+3)(-y-5x+5)=0 [-0.275, 3.144, -0.98, 0.728]}

Now we can see that the solution point is $\left(1 , 0\right)$

$\therefore x = 1 , y = 0$ is the solution to the system.

Check:

$- 3 \times 1 - 0 = - 3 \mathmr{and} 5 \times 1 + 0 = 5$