Solving Systems of Equations by Graphing Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of 51 of 5 Items Question Use the image to answer the 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. (1 point) The intersection point is ().

Question

Solving Systems of Equations by Graphing Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of 51 of 5 Items Question Use the image to answer the 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. (1 point) The intersection point is ().

Answer 1

To find the solution to both equations, we need to find the point of intersection between the two lines. One way to do this is by graphing the two lines on a coordinate plane and identifying the point where they intersect.

Using the given equations:
1) x - 5y = 7
2) 3x - 2y = -4

Let's graph these equations:

Equation 1:
To graph the equation x - 5y = 7, we can rewrite it in slope-intercept form:
-5y = -x + 7
y = (1/5)x - 7/5

This equation represents a line with a slope of 1/5 and a y-intercept of -7/5.

Equation 2:
To graph the equation 3x - 2y = -4, we can rewrite it in slope-intercept form:
-2y = -3x - 4
y = (3/2)x + 2

This equation represents a line with a slope of 3/2 and a y-intercept of 2.

Now let's plot these lines on a coordinate plane:

graph

We can see that the two lines intersect at the point (-1, -2). Therefore, the solution to both equations is (-1, -2).
Answer: The intersection point is (-1, -2).

Answer 2

To find the solution to the system of equations, we need to determine the coordinates of the intersection point of the two lines.

First, let's solve the system of equations by graphing.

1. Plot the graph of the first equation: x - 5y = 7.
To do this, we need to rewrite the equation in slope-intercept form:
x - 5y = 7
-5y = -x + 7
y = (1/5)x - (7/5)

Now, plot the graph of this equation.

2. Plot the graph of the second equation: 3x - 2y = -4.
Similarly, rewrite the equation in slope-intercept form:
3x - 2y = -4
-2y = -3x - 4
y = (3/2)x + 2

Plot the graph of this equation as well.

3. Now, locate the intersection point of the two graphs.
The solution to the system of equations is the coordinates of this point.

Since we do not have the image, we cannot provide the exact coordinates of the intersection point. However, by using the information given, you can plot the two graphs on a coordinate plane and find the point where they intersect, which will give you the solution to the equations.

Answer 3

To find the solution to both equations, we need to find the point of intersection between the two lines represented by the equations.

Let's start by graphing both equations on the same coordinate plane:

Equation 1: x - 5y = 7
Equation 2: 3x - 2y = -4

To graph Equation 1, we can rearrange it to solve for y:
y = (x-7)/5

Now, we can plot some points on the graph using this equation and draw a line through these points.

For Equation 2, rearrange it to solve for y:
y = (3x+4)/2

Again, plot some points on the graph using this equation, and draw a line through these points.

Now, visually inspect the graph and find the point where the two lines intersect. This intersection point represents the solution to both equations. Determine the coordinates of this point and write it as (x, y).

Note: It may be helpful to zoom in on the graph or use a ruler to get a more accurate estimate of the intersection point.

Once you have determined the coordinates of the intersection point, write them down as the answer to the question.