Review the graphs of a system of two linear equations in two variables: x−5y=7 and 3x−2y=−4 . Find the solution to both equations. The intersection point is ().
To find the solution to both equations, we can first graph the system of equations:
1. x - 5y = 7
2. 3x - 2y = -4
To graph these equations, we can rewrite them in slope-intercept form:
1. y = (1/5)x - 7/5
2. y = (3/2)x + 2
Plotting these equations on a graph, we find that they intersect at the point (-3, -2). Therefore, the solution to both equations is (-3, -2).