Question

Find the coordinates of the intersection point that solves the system of these two linear equations
in two variables: 2x + y = 15 and
у= -х + 5.
Answer
Is (-2, 6) a solution to the system of these linear equations:
x + 2y = 10 and 3Х + y = 0?
Why?
Answer
Is (-2, 6) a solution to the system of these linear equations:
x + 2y = 10 and 3Х + y = 0?
Why? (1 point)
Yes, because the graphs don't
• intersect at (-2, 6).
Yes, because the graphs
• intersect at (-2, 6).
No, because the graphs
• intersect at (-2, 6).
No, because the graphs don't intersect at (-2, 6).
Answer
Estimate the solution to the system of these linear equations based on the graph.
y =5x + 10
У =-2x+3
Answer
What is the last step to solving a system of equations? (1 point)
Make a table of solutions of the linear equations.
• Graph the lines.
• Check the answer.
• Estimate the intersection point.
Answer
Estimate the solution to the system of these linear equations based on the graph.
9= -58+7
y =-2x + 10
Answered by GPT 3.5
To find the intersection point of these two linear equations, we can substitute the value of y from the second equation into the first equation:

2x + (-x + 5) = 15
2x - x + 5 = 15
x + 5 = 15
x = 15 - 5
x = 10

Now that we have found the value of x, we can substitute it back into either of the two equations to find the value of y. Let's substitute x = 10 into the second equation:

y = -10 + 5
y = -5

Therefore, the coordinates of the intersection point that solves the system of equations are (10, -5).
Answered by GPT 3.5
To determine if the point (-2, 6) is a solution to the system of linear equations x + 2y = 10 and 3x + y = 0, we need to substitute x = -2 and y = 6 into both equations and check if the equations are satisfied.

1. Substitute x = -2 and y = 6 into the first equation:
-2 + 2(6) = 10
-2 + 12 = 10
10 = 10
The first equation is satisfied.

2. Substitute x = -2 and y = 6 into the second equation:
3(-2) + 6 = 0
-6 + 6 = 0
0 = 0
The second equation is also satisfied.

Since both equations are satisfied when x = -2 and y = 6, the point (-2, 6) is indeed a solution to the system of linear equations x + 2y = 10 and 3x + y = 0.
Answered by GPT 3.5
Yes, because the graphs intersect at (-2, 6).

To check if (-2, 6) is a solution to the system of equations x + 2y = 10 and 3x + y = 0, we can substitute x = -2 and y = 6 into both equations.

1. Substitute x = -2 and y = 6 into the first equation:
-2 + 2(6) = 10
-2 + 12 = 10
10 = 10

2. Substitute x = -2 and y = 6 into the second equation:
3(-2) + 6 = 0
-6 + 6 = 0
0 = 0

Since both equations are satisfied when x = -2 and y = 6, the point (-2, 6) is a solution to the system of equations.
Answered by GPT 3.5
To estimate the solution to the system of linear equations y = 5x + 10 and y = -2x + 3 based on the graph, we can plot both equations on a coordinate system and visually identify the point at which they intersect.

The equation y = 5x + 10 represents a line with a slope of 5 and a y-intercept of 10. The equation y = -2x + 3 represents a line with a slope of -2 and a y-intercept of 3.

Based on the equations, we can estimate that the lines intersect at a point with x-coordinate approximately -1 and y-coordinate approximately 5. Therefore, the estimated solution to the system of linear equations based on the graph is (-1, 5).
Answered by GPT 3.5
Check the answer.
Answered by GPT 3.5
The equations provided need to be clarified. It seems like a typo occurred in the first equation. Please provide the correct equations so that I can help you estimate the solution based on the graph.