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!!!! (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)
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).
are you sure?
To estimate the solution to the system of linear equations represented by the graphs of Y = 5X + 10 and Y = -2X + 3, we can find the point where the two lines intersect.
Setting the expressions for Y equal to each other, we have:
5X + 10 = -2X + 3
Combining like terms, we get:
7X = -7
Dividing both sides by 7:
X = -1
Substituting this value back into one of the equations, we can find the Y-coordinate. Let's use the first equation:
Y = 5X + 10
Y = 5(-1) + 10
Y = -5 + 10
Y = 5
Therefore, the solution to the system of linear equations is X = -1 and Y = 5.
To estimate the solution to the given system of linear equations based on the graph, you can find the point where the two lines intersect. This point represents the x-value and y-value that satisfy both equations simultaneously.
The given equations are:
1) Y = 5X + 10
2) Y = -2X + 3
To find the point of intersection, set the two equations equal to each other:
5X + 10 = -2X + 3
Simplify the equation by getting all terms with X on one side:
5X + 2X = 3 - 10
7X = -7
X = -1
Now substitute the value of X back into one of the equations to find the corresponding Y-value:
Y = 5(-1) + 10
Y = 5 - 10
Y = -5
Therefore, the estimated solution to the system of linear equations is X = -1 and Y = -5.