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siniylev [52]
2 years ago
7

What is the solution for the system of equations? y=−x+4 y= x−2

Mathematics
1 answer:
MissTica2 years ago
6 0

Answer:

(3, 1 )

Step-by-step explanation:

Given the 2 equations

y = - x + 4 → (1)

y = x - 2 → (2)

Substitute y = x - 2 into (1)

x - 2 = - x + 4 ( add x to both sides )

2x - 2 = 4 ( add 2 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (2)

y = 3 - 2 = 1

solution is (3, 1 )

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2 years ago
The perimeter of a rectangle is 30 cm and its length is x cm. Find its area in terms of x. step by step explanation.​
mars1129 [50]

Answer:

The area of the rectangle in terms of 'x' = 13x

Step-by-step explanation:

  • Perimeter = 30 cm
  • Length = x cm

Using the perimeter formula to find the width w.

P=2(l+w)

P = 2l + 2w

2w = P-2l

Dividing both sides by 2

w\:=\:\frac{P}{2}-2

as P = 30 cm

w\:=\:\frac{30}{2}-2

w\:=\:15-2

w = 13 cm

Using the formula of the rectangle area

A = wl

substitute w = 13 and l = x in the formula

A=13\times \:x

A = 13x

Therefore, the area of the rectangle in terms of 'x' = 13x

7 0
2 years ago
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kow [346]
I think its answer A
4 0
3 years ago
8.5 x 10-2 what is the scientific notation of this?
Butoxors [25]

Answer: 0.085

Step-by-step explanation:

Assuming you mean 10 to the power of -2, shift the decimal point two places to the left.

7 0
2 years ago
A bookstore makes a profit of $2.50 on each book they sell, and $0.75 on each magazine they sell. One week, the store sold x boo
marin [14]

Answer:

Total books sold=146 books

Total magazines sold=114 magazines

Step-by-step explanation:

Equation 1

Total weekly profit=(Profit for each magazine sold×Number of magazines sold)+(Profit for each book sold×Number of books sold)

where;

Total weekly profit=$450

Profit from each magazine sold=$0.75

Number of magazines sold=y

profit from each book sold=$2.50

Number of books sold=x

Replacing;

450=(0.75×y)+(2.5×x)

0.75y+2.5x=450.....  Equation 1

Equation 2

Total number of publications sold=Total number of books sold+Total number of magazines sold

where;

Total number of publications sold=260

Total number of books sold=x

Total number of magazines sold=y

x+y=260...   Equation 2

Combine equation 1 and 2 and solve;

1(2.5x+0.75y=450)>>>>>>>>2.5x+0.75y=450

2.5(x+y=260)        >>>>>>>>2.5x+2.5y=650

Subtract equation 1 from 2

(2.5x-2.5x)+(2.5y-0.75y)=(650-450)

1.75y=200

y=200/1.75

y=114

Replacing the value for y in equation 2

x+114=260

x=260-114=146

Total books sold=146 books

Total magazines sold=114 magazines

8 0
2 years ago
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