# How do you solve the system by graphing #y= 1/4x -1# and #y= -2x -10#?

##### 2 Answers

#### Explanation:

the given system

Solution

Transpose all terms with x on the left side

Multiply now both sides by 4/9

to solve for

Checking

With equation

~~~~~~~~~~~~~~~~~~~~~~~

Checking

With equation

God bless....I hope the explanation is useful

Solution **by graphing** below.

#### Explanation:

For each of the given equations select a few (at least two but I would suggest three) values for

Plot each pair of points which you have calculated and draw a line for each equation's set of points.

The point where the two equation lines intersect provide the coordinates of the system solution.

In this case it appears that

(This in fact the exact solution but, in general, solving equations by graphing is very dependent on the accuracy of your drawing).