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3 years ago

What is the solution of this linear equation system? y = 3x-2 y-2 = x

Mathematics

1 answer:

masha68 [24]3 years ago

8 0

Answer:

(2,4)

Step-by-step explanation:

Replace all occurrences of y with 3 x − 2 in each equation.

3x - 4 = x

y= 3x -2

Solve for x in the first equation.

x = 2

y = 3x - 2

Replace all occurrences of x with 2 in the equation.

y = 4

x= 2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(2,4)

<em>hope this helps :)</em>

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kojo wants to be an author. To improve his writing skills, every day after school he writes 3 pages of a story he is working on.

Aleksandr-060686 [28]

Answer:

(a) 3d=81

(b) 27

Step-by-step explanation:

every day, kojo write 3 pages

number of days he has written his story= d days

therefore number of pages he has written= 3d

from the final sentence,

3d= 81

<h3>(a) the equation to describe the situation: </h3><h3>3d= 81</h3>

(b) number of days kojo has been writing his story

3d= 81

dividing through by d

3d/3= 81/3

d = 27

<h3>therefore number of days = 27</h3>

4 0

2 years ago

During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea

Liono4ka [1.6K]

Answer:

30 gallons

Step-by-step explanation:

step 1 right it out

2 hour is 120 mins and 4 cups are poured per min

step 2 Equation time

so your equation should be

4/1=x/120

step 3 solve it out

1 times 120 is 120 is 4 times 120 is 480

but that is not the answer 480 is the amount of CUPS that are used for 2 hrs

so all u have to do is now convert

step 4 convert

16 cups are in 1 gal. so divide 480 by 16 and get 30 gal

x=30 gallons

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6 0

3 years ago

In a particular month, Ezhil spent one-fifth of her salary on shopping. Two-fifth of the remaining she gave to her sister. If sh

Oxana [17]

Answer:

$Salary = Rs23000$

Step-by-step explanation:

Given

$Shopping = \frac{1}{5}$

$Sister = \frac{2}{5}R$

$Left over = Rs11,040$

Required

Her salary in that month

Given that she spent $\frac{1}{5}$ of her salary on shopping, this implies that she has $\frac{4}{5}$ of her salary left

From what's left, she gave her sister $\frac{2}{5}$

This means she gave her sister $\frac{2}{5} * \frac{4}{5}$

Sister = $\frac{8}{25}$

Calculating a fraction of what's left

$Left over = 1 -Shopping - Sister$

$Left over = 1 - \frac{1}{5}- \frac{8}{25}$

$Left over = \frac{25 - 5 - 8}{25}$

$Left over = \frac{12}{25}$

Recall that she has Rs11,040

This means that

$\frac{12}{25} of Salary = Rs11,040$

Multiply both sides by $\frac{25}{12}$

$\frac{12}{25} * \frac{25}{12} * Salary = Rs11,040 * \frac{25}{12}$

$Salary = Rs11,040 * \frac{25}{12}$

$Salary = \frac{Rs276000}{12}$

$Salary = Rs23000$

Hence, her salary for that month was Rs23000

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