Question

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

Answer 1

The solution for the system of equations is (7,-12).

Explanation:

Given : The system of equations {y=-3x+9, y=-x-5}

To find : Graph the system and what is the solution for the system of equations?

Solution :

Let Equation 1 -
`y=-3x+9`

Equation 2 -
`y=-x-5`

Plot the two equation in graphing tool,

Equation 1 in red line passing through (0,9) and (3,0).

Equation 2 in blue line passing through (-5,0) and (0,-5).

The intersection point of the lines is the solution of the equations.

So, The intersection point is (7,-12).

Refer the attached figure below.

Therefore, the solution for the system of equations is (7,-12).

Answer 2

y=−3x+9 slope of this equation is -3 and y-intercept is 9

Plot the y -intercept first which is 9 and mark the points using the slope which is -3. Join the points. So blue line in the graph is y = -3x+9

y=−x−5 slope of this equation is -1 and y intercept is -5

Plot the y -intercept first which is -5 and mark the points using the slope which is -1 . Join the points. So pink line in the graph is y = -x-5

The intersection point of these two lines gives you the solution.

The coordinates of point of intersection (7,-12)