To find the coordinates of the intersection point, we need to solve the system of equations by graphing.
First, rearrange the equations in slope-intercept form:
2x + y = 15
y = -x + 5
Now plot the two lines on a graph. The first line has a y-intercept of 15 and a slope of -2. The second line has a y-intercept of 5 and a slope of -1.
The two lines intersect at the point (5, 0).
Therefore, the coordinates of the intersection point that solves the system of equations are (5, 0).
Solving systems of equations by graphing Quick check
Find the coordinates of the intersection point that solves the system of these two linear equations in two variables: 2x + y = 15 and y = - x + 5 .
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