Which ordered pair is the best estimate for the solution of the system of equations?
y= -3/4x -2
y=x+6

A) (-4.75,1.75)
B) (-4.25,1.5)
C) (-4.5,1.5)
D) (-4.5,1.75)

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Respuesta :

carlosego carlosego · Answer 1 · 2020-03-26T01:24:25+01:00

For this case we have the following system of equations:

[tex]y = - \frac {3} {4} x-2\\y = x + 6[/tex]

Equaling the equations we have:

[tex]- \frac {3} {4} x-2 = x + 6\\-2-6 = (1+ \frac {3} {4}) x\\-8 = \frac {7} {4} x\\-32 = 7x\\x = \frac {-32} {7}\\x = -4.57[/tex]

The variable y:

[tex]y = -4.57 + 6 = 1.43[/tex]

Thus, we can round the solution as:

[tex](x, y): (- 4.5; 1.5)[/tex]

It is verified with the graph

Answer:

Option C

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MrRoyal MrRoyal · Answer 2 · 2022-05-04T11:24:23+02:00

The equations are linear equations, the ordered pair that best estimates the solution is (-4.5, 1.5)

From the given graph, we have the following highlights

The point of intersection of the lines y= -3/4x -2 and y=x+6 is at

x = -4.5 and y = 1.5

The point of intersection is the solution of the system of equation

Hence, the ordered pair that best estimates the solution is (-4.5, 1.5)

Read more about equation solutions at:

https://brainly.com/question/14323743

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