Question

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

Answer 1

To review the graphs of the system of two linear equations in two variables x - 5y = 7 and 3x - 2y = -4, we can start by rearranging both equations in the standard form (y = mx + b), where m represents the slope and b represents the y-intercept.

1. Equation 1: x - 5y = 7
Rearranging this equation, we have:
-5y = -x + 7
y = (1/5)x - (7/5)

2. Equation 2: 3x - 2y = -4
Rearranging this equation, we have:
-2y = -3x - 4
y = (3/2)x + 2

Now, let's plot these graphs on the coordinate plane to visualize the solution:

Based on the equations:
Equation 1 (red): y = (1/5)x - (7/5)
Equation 2 (blue): y = (3/2)x + 2

The solution to the system of equations is the point where the two lines intersect.

Upon observation, we can see that the lines intersect at the point (-5, -2).