All categories

3 years ago

How do you solve the system of the linear equation by substitution? y=x-4 4x-y=3

Mathematics

2 answers:

Rama09 [41]3 years ago

4 0

Answer: ( $-\frac{1}{3},-\frac{13}{3}$

Step-by-step explanation:

Substitut (x-4) into the equation of 4x-y=3

(Substitute what y equals into the equation

Make sure to keep parentheses!

That becomes 4x-(x-4)=3

Than you must distribute the negative to x and to -4

When you do it creates the equation of 4x-x+4=3

When combining like terms you get: 3x+4=3

Then solve -4 -4

3x=-1

3 3 x=-1

Than substitute the x in for the equation of y=x-4 to find what y equals! since you know that x equals -1/3 than subtract -1/3 - 4 to get

y= -13

Bingel [31]3 years ago

3 0

Answer:

x=-1/3, y=-13/3. (-1/3, -13/3).

Step-by-step explanation:

y=x-4

4x-y=3

------------

4x-(x-4)=3

4x-x+4=3

3x+4=3

3x=3-4

3x=-1

x=-1/3

y=-1/3-4

y=-1/3-12/3=-13/3

You might be interested in

Solve for x: 2(2a+3)-6=5a+2

coldgirl [10]

Answer:

a=-2

We move all terms to the left:

2(2a+3)-6-(5a+2)=0

We multiply parentheses

4a-(5a+2)+6-6=0

We get rid of parentheses

4a-5a-2+6-6=0

We add all the numbers together, and all the variables

-1a-2=0

We move all terms containing a to the left, all other terms to the right

-a=2

a=2/-1

a=-2

Step-by-step explanation:

We move all terms to the left:

2(2a+3)-6-(5a+2)=0

We multiply parentheses

4a-(5a+2)+6-6=0

We get rid of parentheses

4a-5a-2+6-6=0

We add all the numbers together, and all the variables

-1a-2=0

We move all terms containing a to the left, all other terms to the right

-a=2

a=2/-1

a=-2

Please like and give me Brainliest!

3 0

3 years ago

Read 2 more answers

Kendall is planning to buy a laptop for 1,200 each month she doubles the amount she saved the previous month if she saved 20 dol

Alexandra [31]

She will have enough money in 60 months...

7 0

4 years ago

Read 2 more answers

18x-10-6x=50 This is another question on my quiz I really need help

prohojiy [21]

The answer is got is X=5 :)

7 0

3 years ago

◕ A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer. The retailer added transportation cost of Rs 250 , pr

satela [25.4K]

Given :-

A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
Customer has to pay 13% VAT .

To Find :-

Amount to be paid by the customer .

Solution :-

Here , according to the question ,

$\sf\dashrightarrow Cost\ of \ machine \ = \ Rs 4200$

$\sf\dashrightarrow VAT = 13\%$

Therefore cost after adding VAT ,

$\sf\dashrightarrow Cost = Cost_{initial}+13\% of Cost_{initial}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs 4200 \times \dfrac{13}{100}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs546\\$

$\sf\dashrightarrow \bf{ Cost = Rs 4746}$

Again the values added by the retailer before selling to customer ,

Transport = Rs 250
Profit = Rs 300
Tax = Rs 150

Therefore total cost after adding these ,

$\sf\dashrightarrow Cost = Rs( 4746+ 250+ 300 + 150 )\\$

$\sf\dashrightarrow\bf { Cost = Rs 5446}$

Again Selling price after addition of 13% VAT ,

$\sf\dashrightarrow SP = Rs 5446 + 13\% \ of \ Rs 5446\\$

$\sf\dashrightarrow SP = Rs 5446 + \dfrac{13}{100}\times 5446 \\$

$\sf\dashrightarrow SP = Rs (5446 + 707.98) = Rs ( 5446 + 708)\\$

$\sf\dashrightarrow \underline{\underline{\bf SP_{to\ the \ customer} = Rs 6154}}$

Hence the amount to be paid by the customer is Rs 6154 .

3 0

2 years ago

Read 2 more answers

Calculate the Land Transfer Tax on a house for 248000

Phoenix [80]

Answer:Calculate the Land Transfer Tax on a house for 248000

Calculation example

1.multiply $55,000 by 0.5% (55,000 × 0.005) = $275.

2.multiply the amount exceeding $55,000 up to $250,000 by 1.0% (195,000 × 0.01) = $1,950.

3.multiply the amount exceeding $250,000 up to $400,000 by 1.5% (150,000 × 0.015) = $2,250.

Step-by-step explanation:

3 0

3 years ago