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2 years ago

Which of these strategies would eliminate a variable in the system of equations?

Mathematics

1 answer:

melomori [17]2 years ago

8 0

5x -2y = 2 is the answer

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D-10-2d+7=8+d-10-3d

TEA [102]

$Solution,solve\:for\:d,\:d-10-2d+7=8+d-10-3d\quad :\quad d=1$

$Steps:$

$d-10-2d+7=8+d-10-3d$

$\mathrm{Subtract\:}d-10\mathrm{\:from\:both\:sides},\\d-10-2d+7-\left(d-10\right)=8+d-10-3d-\left(d-10\right)$

$\mathrm{Refine},\\-2d+7=8-3d$

$\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides},\\-2d+7-7=8-3d-7$

$\mathrm{Simplify},\\-2d=-3d+1$

$\mathrm{Add\:}3d\mathrm{\:to\:both\:sides},\\-2d+3d=-3d+1+3d$

$\mathrm{Simplify},\\d=1$

$\mathrm{The\:Correct\:Answer\:is\:d=1}$

$\mathrm{Hope\:This\:Helps!!!}$

$\mathrm{-Austint1414}$

4 0

3 years ago

I dont understand how to do this

krok68 [10]

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5 0

2 years ago

What is $112 in 8 hours

never [62]

Answer:

A unit rate must have a denominator of one:

n/1

So you would get n by dividing 112 by 8: 112 divided by 8 = 14 so n = 14.

14/1 or $14 p/ hr

8 0

3 years ago

Anna walked 1/8 of a mile in 1/16 of an hour what was her walking speed in miles per hour

ivann1987 [24]

Answer:

Step-by-step explanation:

8 0

3 years ago

Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50. Jason went into the same movi

ruslelena [56]

The price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

Solution:

Let d" be the price of 1 drink

Let "p" be the price of 1 pretzel

Given that, Isabella went into a movie theater and bought 3 drinks and 10 pretzels, costing a total of $54.50

Therefore, we can frame a equation as,

3 x price of 1 drink + 10 x price of 1 pretzel = 54.50

$3 \times d + 10 \times p = 54.50$

3d + 10p = 54.5 ---------- eqn 1

Jason went into the same movie theater and bought 9 drinks and 5 pretzels, costing a total of $57.25

9 x price of 1 drink + 5 x price of 1 pretzel = 57.25

$9 \times d + 5 \times p = 57.25$

9d + 5p = 57.25 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 3

9d + 30p = 163.5 ----- eqn 3

Subtract eqn 2 from eqn 3

9d + 30p = 163.5

9d + 5p = 57.25

( - ) -----------------------

25p = 106.25

p = 4.25

Substitute p = 4.25 in eqn 1

3d + 10(4.25) = 54.5

3d + 42.5 = 54.5

3d = 54.5 - 42.5

3d = 12

d = 4

Thus price of 1 drink is $ 4 and price of 1 pretzel is $ 4.25

4 0

2 years ago