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const2013 [10]
3 years ago
15

Solve using Substitution y = 6x - 11 -2x - 3y = -7

Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0

Answer:

(2, 1)

Step-by-step explanation:

To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.

y = 6x - 11

-2x - 3(6x - 11) = -7 Distribute.

-2x - 18x + 33 = -7 Combine like terms.

-20x + 33 = -7 Subtract 33 from both sides of the equation.

-20x = -40 Divide by -20 on both sides of the equation.

x = 2

Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.

y = 6(2) - 11

y = 12 - 11

y = 1

Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).

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This solid object contains 8 sides.

The side that is facing you has a surface area:

64f{ t }^{ 2 }+84f{ t }^{ 2 }=148f{ t }^{ 2 }

The side exactly opposite this one has the same surface area - 2 sides with this surface area in total.

The bottom side has a surface area:

84f{ t }^{ 2 }

The side to your right has a surface area:

84f{ t }^{ 2 }

The side to your left has a surface area:

48f{ t }^{ 2 }

The side to your top left has a surface area:

48f{ t }^{ 2 }

The side beside the side to the top left has a surface area:

36f{ t }^{ 2 }

The side at the very top has a surface area:

36f{ t }^{ 2 }

Combined, the surface area is:

S=2\cdot 148f{ t }^{ 2 }+2\cdot 84f{ t }^{ 2 }+2\cdot 48f{ t }^{ 2 }+2\cdot 36f{ t }^{ 2 }

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Therefore the answer is: C
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3 years ago
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