Question

Graph the system of equations on your graph paper to answer the question.

{y=−3x+9
y=−x−5
What is the solution for the system of equations?
Enter your answer in the boxes.

Answer 1

Y=3x+9
3x+9= 12x
Y= -x-5=5x
12x5x= 60

Answer 2

`(7,-12)`

Explanation:

We have been given a system of equations. We are asked to solve the given system by graphing.

`y=-3x+9...(1)\\y=-x-5...(2)`

We can see both equations are in slope-intercept form of equation.

The line of equation
`y=-3x+9` will cross the y-axis at (0,9) and will have a slope of
`-3`.

The line of equation
`y=-x-5` will cross the y-axis at
`(0,-5)` and will have a slope of
`-1`.

Please find the attachment for the graph of both equations.

We can see that both lines intersect at point
`(7,-12)`, therefore, the solution of our give system is
`(7,-12)`.