Use the graph to answer the question 3x-2y=-4

Question

X-5y=3
Review the graph of a system of two linear equations in two variables x-5y=7 and 3x-2y=-4 find the solution of both equations

Answer 1

To find the solution of 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:

3x - 2y = -4
-2y = -3x - 4
y = (3/2)x + 2

x - 5y = 3
-5y = -x + 3
y = (1/5)x - 3/5

Now, we can graph both lines:

y = (3/2)x + 2 (blue line)
y = (1/5)x - 3/5 (red line)

The point where the two lines intersect is the solution to the system of equations. By visually inspecting the graph, it appears that the lines intersect at approximately (1, 1), so the solution to the system of equations is x = 1, y = 1.