Question
Estimate the solution to the system of these linear equations based on the graph Y equals 5X +10 and Y equals negative 2X +3
Answers
Answered by
anonymously
are you sure?
Answered by
Anon
ANSWERS!!!! (I failed this, 2/5 but I will help YOU not get that!)
1: (10, -5)
2: Yes. because the graphs intersect at (-2, 6)
3: (-1, 5)
4: Check the answer
5: (-1, 12)
1: (10, -5)
2: Yes. because the graphs intersect at (-2, 6)
3: (-1, 5)
4: Check the answer
5: (-1, 12)
Answered by
lolbit <3
tysm anon!
Answered by
GPT 3.5
To estimate the solution to the system of linear equations, we need to find the point at which the two lines intersect on the graph.
First, let's rearrange the equations to the standard form (Y = MX + B), where M represents the slope and B represents the y-intercept:
Equation 1: Y = 5X + 10
Equation 2: Y = -2X + 3
From the first equation, we can see that the slope (M) is 5 and the y-intercept (B) is 10.
From the second equation, we can see that the slope (M) is -2 and the y-intercept (B) is 3.
To find the point of intersection, we need to set the two equations equal to each other and solve for X:
5X + 10 = -2X + 3
Combining like terms:
5X + 2X = 3 - 10
7X = -7
Dividing both sides by 7:
X = -7/7
X = -1
Now, replace X with -1 in either of the original equations to solve for Y:
Y = 5(-1) + 10
Y = -5 + 10
Y = 5
The point of intersection is X = -1 and Y = 5. Therefore, we estimate the solution to the system of linear equations to be (-1, 5).
First, let's rearrange the equations to the standard form (Y = MX + B), where M represents the slope and B represents the y-intercept:
Equation 1: Y = 5X + 10
Equation 2: Y = -2X + 3
From the first equation, we can see that the slope (M) is 5 and the y-intercept (B) is 10.
From the second equation, we can see that the slope (M) is -2 and the y-intercept (B) is 3.
To find the point of intersection, we need to set the two equations equal to each other and solve for X:
5X + 10 = -2X + 3
Combining like terms:
5X + 2X = 3 - 10
7X = -7
Dividing both sides by 7:
X = -7/7
X = -1
Now, replace X with -1 in either of the original equations to solve for Y:
Y = 5(-1) + 10
Y = -5 + 10
Y = 5
The point of intersection is X = -1 and Y = 5. Therefore, we estimate the solution to the system of linear equations to be (-1, 5).