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.
2 answers:
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)
Answer:
The solution for the system of equations is (7,-12).
Step-by-step 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 -
Equation 2 -
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).
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