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.

Respuesta :

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

Answer:

[tex](7,-12)[/tex]

Step-by-step explanation:

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

[tex]y=-3x+9...(1)\\y=-x-5...(2)[/tex]

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

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

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

Please find the attachment for the graph of both equations.

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

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