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Masteriza [31]
2 years ago
13

Which ordered pair is the best estimate for the solution of the system of equations

Mathematics
1 answer:
Colt1911 [192]2 years ago
5 0

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

The given system of equations is:

y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)

Equate equations (1) and (2)

-\frac{1}{2}x + 4=\frac{1}{2}x -3

Solve for x in the equation above

-\frac{1}{2}x -\frac{1}{2}x =-3-4\\\\-x=-7\\\\x=7

Substitute x = 7 into equation (1)

y=-\frac{1}{2}x + 4\\\\y=-\frac{1}{2}(7) + 4\\\\y=\frac{1}{2}

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

Learn more on system of equations here: brainly.com/question/13729904

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2 years ago
1. Which ordered pair is a solution of the equation y=4x?
wolverine [178]

Substitute in the values and solve.

1) B

For A:

3 = 4(1)

<u>This is NOT true.</u>

For B:

-4 = 4(-1)

<u>This IS true.</u>

For C:

-1 = 4(-4)

<u>This is NOT true.</u>

For D:

-4 = 4(1)

<u>This is NOT true.</u>

2) None. Possible solutions: (0,2) (1,-5)

For A:

2 = -7(1) + 2

2 = -7 + 2

<u>This is NOT true.</u>

For B:

-52 = -7(8) + 2

-52 = -56 + 2

<u>This is NOT true.</u>

For C:

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-35 = -35 + 2

<u>This is NOT true.</u>

For D:

-7 = -7(1) + 2

-7 = -7 + 2

<u>This is NOT true.</u>

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