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4 years ago

Determine whether the point (1, 5) is a solution to the system of equations. Explain your reasoning in complete sentences.

Mathematics

2 answers:

lawyer [7]4 years ago

6 0

In this case the two equations describe lines that intersect at one particular point. Clearly this point is on both lines, and therefore its coordinates (x, y) will satisfy the equation of either line. Thus the pair (x, y) is the one and only solution to the system of equations. since (1,5) is not an intersection of the two lines then it is not a solution to the systems of equation

Harman [31]4 years ago

3 0

Answer:

(1,5) is not a solution to the system of equations

Step-by-step explanation:

To find the point (1, 5) is a solution to the system of equations.

We look at the intersection of both graphs given

Both graphs intersects at (0,2)

Intersection of two graphs is the solution of system of equations

Two graphs intersects at (0,2). so (0,2) is the solution of system of equations

(1,5) is not a solution to the system of equations

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vodomira [7]

Maximum price is 1

Put 1 in equation

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2 years ago

Find the volume of the rectangular prism. Express your answer as a simplified mixed number.

OverLord2011 [107]

Answer:

Volume = = 138⁶/32 cubic meters

Step-by-step explanation:

Given:

Length = 8⅜ m

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Height = 8¼ m

Required:

Volume as a mixed number

Solution:

Volume of rectangular prism = L*W*H

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V = 8⅜ × 2 × 8¼

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3 years ago

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DENIUS [597]

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3 years ago

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Andreas93 [3]

Answer:

Step-by-step explanation:

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Mary drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 7 hours. When Mary drove h

ELEN [110]

There are two separate equations for this question that use the same variable.

Mary took 7 hours to complete a trip with traffic. This would use the following expression:

$7x$

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$4(x+27)$

Both trips had the same distance. From the information provided, we can set up the following equation:

$7x = 4(x+27)$

x represents the average rate of speed on both trips.

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$4 \times x = 4x$
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$7x = 4x + 108$

Subtract 4x from both sides:

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Divide both sides by 3 to get x by itself:

$x = 36$

The average speed for the slower trip is 36 mph.

We can plug this value into the first equation:

$7(36) = 7 \times 36 = 252$

Mary lives 252 miles away from the mountains.

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