Use the graph to answer the question, x - 5y = 7 and 3x - 2y = -4
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
To find the solution to both equations, we need to find the point where the two lines intersect on the graph.
First, let's rewrite the equations in slope-intercept form (y = mx + b):
1) x - 5y = 7
-5y = -x + 7
y = (1/5)x - 7/5
2) 3x - 2y = -4
-2y = -3x - 4
y = (3/2)x + 2
Now let's plot the two lines on the graph:
The first line has a slope of 1/5 and y-intercept of -7/5.
The second line has a slope of 3/2 and y-intercept of 2.
The two lines intersect at the point (-1, -2).
Therefore, the solution to the system of equations x - 5y = 7 and 3x - 2y = -4 is x = -1 and y = -2.