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 visualize the system of two linear equations x-5y=7 and 3x-2y=-4, we can plot them on a graph.
First, let's rearrange both equations into slope-intercept form (y = mx + b) to make it easier to graph:
Equation 1: x - 5y = 7
-5y = -x + 7
y = (1/5)x - 7/5
Equation 2: 3x - 2y = -4
-2y = -3x - 4
y = (3/2)x + 2
Now, let's plot these equations on the same graph:
equation: y=(1/5)x-7/5
equation: y=(3/2)x+2
From the graph, we can see that both lines intersect at the point (3, -2). Therefore, the solution to the system of equations x-5y=7 and 3x-2y=-4 is x=3 and y=-2.