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 .
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).