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Juliette [100K]
3 years ago
8

3x-4y=1 and x=2y+1 using substitution

Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

x =-1

y =-1

Step-by-step explanation:

to solve this system of equation, using substiution method

3x-4y=1 ........................ equation 1

x=2y+1 ............................  equation 2

subbstitute for x into equation 1

3x-4y=1 ........................ equation 1

3(2y + 1) - 4y = 1

6y + 3 -4y = 1

2y + 3 = 1

collect the like terms

2y = 1- 3

2y= -2

divide both sides by  the coefficient of y which is y

2y/2 = -2/2

y = -1

put the value of y =-1 into equation 2

x=2y+1 ............................  equation 2

x = 2(-1) + 1

x = -2 + 1

x = -1

therefore x =-1 y = -1

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A salesperson at a jewelry store earns ​5% commission each week. Last​ week, Jarrod sold $640 worth of jewelry. How much did he
Aleksandr-060686 [28]

Answer:

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Step-by-step explanation:

To find the commission, multiply the rate by the sales:

  commission = 5% × $640 = $32

He made $32 in commission.

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<em>Additional comment</em>

Many calculators and all spreadsheets can work with percentages directly. If yours can't, or if you can't do this arithmetic mentally, you can use the equivalent decimal or fraction for 5%.

  5% = 5/100 = 0.05 = 1/20

Then 5% × $640 = $640/20 = $64/2 = $32.

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3 years ago
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Answer:

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Step-by-step explanation:

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-x = -10      |change the signs

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If m x=49, y =41<br> x=90, y=49<br> x=90 y=41<br> x=41 y=49
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The gift shop is having a sale. your friend sells half her stock of keyrings every hour. she has 24 boxes at the start of the sa
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To solve for the given problem above:

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Help, please! This question may take some time to answer.
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Answer:

0.15-0.75p? YES

-0.45-0.6+0.75P? NO

-3(-0.05+0.25p)? YES

-3(0.15)+(-3)(0.2)+(-3)(0.25p)? NO

Step-by-step explanation:

-3(0.15-0.2+0.25p)

=-0.45+0.6-0.75p

=0.15-0.75p

1. 0.15-0.75p=0.15-0.75p? YES

2. -0.45-0.6+0.75P=0.15-0.75p?

-1.05+0.75p=0.15-0.75p? NO

3. -3(-0.05+0.25p)=0.15-0.75p?

0.15-0.75=0.15-0.75p? YES

4. -3(0.15)+(-3)(0.2)+(-3)(0.25p)=0.15-0.75p?

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7 0
2 years ago
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