Estimate the solution to the system of these linear equations based on the graph Y equals 5X +10 and Y equals negative 2X +3

4 answers

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?
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)
tysm anon!
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