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3 years ago

Solve this system using the linear combination method. Show your work and explain each step. 2x + y = 8 x − y = 4

Mathematics

1 answer:

Furkat [3]3 years ago

3 0

Answer:

Step-by-step explanation:

Subtract 2x

from both sides of the equation.

y=8−2x

x−y=2

Replace all occurrences of y

in x−y=2 with 8−2x

y=8−2x

x−(8−2x)=2

Simplify the left side.

Tap for more steps...

y=8−2x

3x−8=2

Solve for x

in the second equation.

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y=8−2x

x=103

Replace all occurrences of x

in y=8−2x with 103

y=8−2(103)

x=103

Simplify 8−2(103)

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y=43

x=103

The solution to the system of equations can be represented as a point.

(103,43)

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The number of chairs on a ski lift is inversely proportional to the distance between them a lift has 70 chairs when there’s spac

zhannawk [14.2K]

Answer:

Space between 80 evenly spaced chairs = 21m

Step-by-step explanation:

So, according to the given statement, we have the following expression:

No. of chairs ∝ $\frac{1}{Distance.Between.chairs}$

70 chairs are 24m apart, so it can be written as:

70 ∝ $\frac{1}{24}$

For, 1 chair , we divide both sides by 70

$\frac{70}{70}$ ∝ $\frac{1}{24(70)}$

1 ∝ $\frac{1}{24 (70)}$ -----------------------(Equation 1)

For 80 chairs:

Multiply both sides of Equation.1 by 80

80 ∝ $\frac{80}{24 (70)}$

80 ∝ $\frac{1}{21}$

So according to the above relation,

80 evenly spaced chairs will have a space of 21 m between them.

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3 years ago

Which equation of the line is shown on this graph? Enter your answer in the box

Nat2105 [25]

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3 years ago

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Sholpan [36]

Answer:

Step-by-step explanation:

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3 years ago

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maw [93]

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3 years ago

Read 2 more answers

Find two integers whose sum is -9 and product is -10

BigorU [14]

Step-by-step explanation:

if the two integers are x and y

xy=-10

x+y=-9

x+(-10/x)=-9

x2+9x-10=0

(x-1)(x+10)=0

x=1 or x=-10

if x=1, y=-10

if x=-10, y=1

so the two integers are 1 and -10

5 0

3 years ago