Question
are my points correct for y=x+3 -4x+4y=28
i have 0,7 and 1,8
i have 0,7 and 1,8
Answers
Answer
is it 0,3 instead of 1,8
im supposed to graph y=x+3 -4x+4y=28
im supposed to graph y=x+3 -4x+4y=28
Answer
ohhh so its
1,8 and 0,3?
1,8 and 0,3?
Answer
im confused how do i find the graph answers for y=x+3 -4x+4y=28
Answered by
GPT 3.5
To determine if your points are correct for the given system of equations y = x + 3 and -4x + 4y = 28, we can substitute the x and y values in each equation and check if they satisfy the equation.
For the point (0, 7):
Substituting x = 0 and y = 7 into the first equation, we have:
7 = 0 + 3
7 = 3, which is not true.
Substituting x = 0 and y = 7 into the second equation, we have:
-4(0) + 4(7) = 28
28 = 28, which is true.
Therefore, the point (0, 7) satisfies the second equation but not the first equation, so it is not a solution for the given system of equations.
For the point (1, 8):
Substituting x = 1 and y = 8 into the first equation, we have:
8 = 1 + 3
8 = 4, which is not true.
Substituting x = 1 and y = 8 into the second equation, we have:
-4(1) + 4(8) = 28
32 = 28, which is not true.
Therefore, the point (1, 8) does not satisfy either of the given equations, so it is not a solution for the system.
In conclusion, neither (0, 7) nor (1, 8) are correct points for the system of equations y = x + 3 and -4x + 4y = 28.
For the point (0, 7):
Substituting x = 0 and y = 7 into the first equation, we have:
7 = 0 + 3
7 = 3, which is not true.
Substituting x = 0 and y = 7 into the second equation, we have:
-4(0) + 4(7) = 28
28 = 28, which is true.
Therefore, the point (0, 7) satisfies the second equation but not the first equation, so it is not a solution for the given system of equations.
For the point (1, 8):
Substituting x = 1 and y = 8 into the first equation, we have:
8 = 1 + 3
8 = 4, which is not true.
Substituting x = 1 and y = 8 into the second equation, we have:
-4(1) + 4(8) = 28
32 = 28, which is not true.
Therefore, the point (1, 8) does not satisfy either of the given equations, so it is not a solution for the system.
In conclusion, neither (0, 7) nor (1, 8) are correct points for the system of equations y = x + 3 and -4x + 4y = 28.
Answered by
GPT 3.5
Apologies for the previous response. Let's check if the point (0, 3) satisfies the given system of equations.
Substituting x = 0 and y = 3 into the first equation, we have:
3 = 0 + 3
3 = 3, which is true.
Substituting x = 0 and y = 3 into the second equation, we have:
-4(0) + 4(3) = 28
12 = 28, which is not true.
Therefore, the point (0, 3) only satisfies the first equation but not the second equation. It is not a solution for the given system of equations.
To find the correct point, we need to solve the system of equations:
First equation: y = x + 3
Second equation: -4x + 4y = 28
Substituting y from the first equation into the second equation:
-4x + 4(x + 3) = 28
-4x + 4x + 12 = 28
12 = 28
This is not true, which means the system of equations is inconsistent and there is no solution.
Therefore, there are no points that satisfy the given system of equations y = x + 3 and -4x + 4y = 28.
Substituting x = 0 and y = 3 into the first equation, we have:
3 = 0 + 3
3 = 3, which is true.
Substituting x = 0 and y = 3 into the second equation, we have:
-4(0) + 4(3) = 28
12 = 28, which is not true.
Therefore, the point (0, 3) only satisfies the first equation but not the second equation. It is not a solution for the given system of equations.
To find the correct point, we need to solve the system of equations:
First equation: y = x + 3
Second equation: -4x + 4y = 28
Substituting y from the first equation into the second equation:
-4x + 4(x + 3) = 28
-4x + 4x + 12 = 28
12 = 28
This is not true, which means the system of equations is inconsistent and there is no solution.
Therefore, there are no points that satisfy the given system of equations y = x + 3 and -4x + 4y = 28.
Answered by
GPT 3.5
Apologies for the incorrect response. Let's check if the points (1, 8) and (0, 3) satisfy the given system of equations.
For the point (1, 8):
Substituting x = 1 and y = 8 into the first equation, we have:
8 = 1 + 3
8 = 4, which is not true.
Substituting x = 1 and y = 8 into the second equation, we have:
-4(1) + 4(8) = 28
32 = 28, which is not true.
Therefore, the point (1, 8) does not satisfy either of the given equations, so it is not a solution for the system.
For the point (0, 3):
Substituting x = 0 and y = 3 into the first equation, we have:
3 = 0 + 3
3 = 3, which is true.
Substituting x = 0 and y = 3 into the second equation, we have:
-4(0) + 4(3) = 28
12 = 28, which is not true.
Therefore, the point (0, 3) satisfies the first equation but not the second equation. It is not a solution for the given system of equations.
In conclusion, neither (1, 8) nor (0, 3) are correct points for the system of equations y = x + 3 and -4x + 4y = 28.
For the point (1, 8):
Substituting x = 1 and y = 8 into the first equation, we have:
8 = 1 + 3
8 = 4, which is not true.
Substituting x = 1 and y = 8 into the second equation, we have:
-4(1) + 4(8) = 28
32 = 28, which is not true.
Therefore, the point (1, 8) does not satisfy either of the given equations, so it is not a solution for the system.
For the point (0, 3):
Substituting x = 0 and y = 3 into the first equation, we have:
3 = 0 + 3
3 = 3, which is true.
Substituting x = 0 and y = 3 into the second equation, we have:
-4(0) + 4(3) = 28
12 = 28, which is not true.
Therefore, the point (0, 3) satisfies the first equation but not the second equation. It is not a solution for the given system of equations.
In conclusion, neither (1, 8) nor (0, 3) are correct points for the system of equations y = x + 3 and -4x + 4y = 28.
Answered by
GPT 3.5
To find the graph of the system of equations y = x + 3 and -4x + 4y = 28, we can solve the second equation for y and then plot the points on a graph.
First equation: y = x + 3
Second equation: -4x + 4y = 28
Solving the second equation for y:
-4x + 4y = 28
4y = 4x + 28
y = x + 7
Now we have the same equation for y in both equations. This means that the system of equations represents two parallel lines, since they have the same slope of 1.
To graph the lines, we can plot two points on each line and draw a straight line passing through those points.
For y = x + 3:
When x = 0, y = 0 + 3 = 3, giving us the point (0, 3).
When x = 1, y = 1 + 3 = 4, giving us the point (1, 4).
For y = x + 7:
When x = 0, y = 0 + 7 = 7, giving us the point (0, 7).
When x = 1, y = 1 + 7 = 8, giving us the point (1, 8).
Plotting these points on a graph and drawing a straight line passing through them, we get:
|
10 + |
|
| /
5 + | /
|/
|_____
0 5 10
The line for y = x + 3 passes through the points (0, 3) and (1, 4), and the line for y = x + 7 passes through the points (0, 7) and (1, 8). However, as we mentioned earlier, these lines are parallel and do not intersect. Therefore, the given system of equations does not have a solution.
The correct points for the system of equations y = x + 3 and -4x + 4y = 28 are (0, 3) and (1, 4) on the line y = x + 3.
First equation: y = x + 3
Second equation: -4x + 4y = 28
Solving the second equation for y:
-4x + 4y = 28
4y = 4x + 28
y = x + 7
Now we have the same equation for y in both equations. This means that the system of equations represents two parallel lines, since they have the same slope of 1.
To graph the lines, we can plot two points on each line and draw a straight line passing through those points.
For y = x + 3:
When x = 0, y = 0 + 3 = 3, giving us the point (0, 3).
When x = 1, y = 1 + 3 = 4, giving us the point (1, 4).
For y = x + 7:
When x = 0, y = 0 + 7 = 7, giving us the point (0, 7).
When x = 1, y = 1 + 7 = 8, giving us the point (1, 8).
Plotting these points on a graph and drawing a straight line passing through them, we get:
|
10 + |
|
| /
5 + | /
|/
|_____
0 5 10
The line for y = x + 3 passes through the points (0, 3) and (1, 4), and the line for y = x + 7 passes through the points (0, 7) and (1, 8). However, as we mentioned earlier, these lines are parallel and do not intersect. Therefore, the given system of equations does not have a solution.
The correct points for the system of equations y = x + 3 and -4x + 4y = 28 are (0, 3) and (1, 4) on the line y = x + 3.
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