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3 years ago

Solve by substituting the equation y=-x-6 y=x-4(plz show work)

Mathematics

1 answer:

Elena-2011 [213]3 years ago

4 0

Answer:

x = -1, y= -5

Step-by-step explanation:

y=-x-6

y=x-4

Since both equations are equal to y we can set them equal to each other

-x-6 = x-4

Add x to each side

-x-6+x = x-4+x

-6 = 2x-4

Add 4 to each side

-6+4 = 2x-4+4

-2 =2x

Divide by 2

-2/2 = 2x/2

-1 = x

now find y

y = x-4

y = -1-4

y = -5

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3 years ago

Combine 2y+1x=40 and y=2x using substitution

fomenos

2(2x) + 1x = 40 or 4x + 1x = 40 is the result of combining by substitution

Solution:

Given that we have to combine 2y + 1x = 40 and y = 2x using substitution method

The substitution method for solving systems of equations involves expressing one variable in terms of another, thus removing one variable from an equation.

Given equations are:

2y + 1x = 40 -------- eqn 1

y = 2x ----------- eqn 2

We can substitute eqn 2 in eqn 1

Which means, substitute y = 2x in place of y in eqn 1

2(2x) + 1x = 40

4x + 1x = 40

5x = 40

x = 8

From eqn 2,

y = 2(8)

y = 16

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3 years ago

5. If g(x) = 3x + 4, what is the value of g-1(g(-2))?

stepan [7]

Answer:

- 2

Step-by-step explanation:

The composition of inverse functions gives x

g(x) and $g^{-1}$ (x) are inverse functions, then

$g^{-1}$ (g(x)) = x , thus

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3 years ago

Carrie wished to build a rectangular dog run along theside of her garage. The garage will serve as one side of the fence. If she

Nat2105 [25]

Given:

Carrie has 180 ft of the fencing and wishes the fence to be 4times as long as it is wide.

To Find:

The area in square feet that the fencing encloses.

Answer:

The fence encloses 3600 sq ft.

Step-by-step explanation:

Let x denote the length of the dog run and y denote the width of the dog run.

Given that the garage wall serves as one side of the dog run, we are left with 3 other sides to instal the fence.

Carrie has 180ft of fencing with her, so the sum of the lengths of the 3 sides has to be equal to 180. We can represent this in the form of an equation as

$x+y+y=180\\\\x+2y=180\\\\x=180-2y$