Question

Review the graphs of a system of two linear equations in two variables: ~ - 5y = 7 and 3x - 2y = -4. Find

the solution to both equations.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To graph the system of equations -5y = 7 and 3x - 2y = -4, we need to first solve for y in each equation:

1) -5y = 7
y = -7/5

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

Now that we have the equations in slope-intercept form, we can graph them:

Equation 1: y = -7/5
This is a horizontal line passing through the y-axis at -7/5.

Equation 2: y = 3/2x + 2
This is a line with a slope of 3/2 and a y-intercept of 2.

The solution to the system of equations is the point where the two lines intersect. By graphing the equations, we see that they do not intersect, which means there is no solution to the system of equations.