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Svet_ta [14]
3 years ago
7

Which ordered pair is the solution to the following system? y = x - 2 and 4x + y = 23

Mathematics
1 answer:
rusak2 [61]3 years ago
6 0

Answer:

x=5, y=3

Step-by-step explanation:

y=x−2;4x+y=23

Step: Solve y=x−2 for y:

Step: Substitute x−2 for y in 4x+y=23:

4x+y=23

4x+x−2=23

5x−2=23(Simplify both sides of the equation)

5x−2+2=23+2(Add 2 to both sides)

5x=25

5x/5 = 25/5(Divide both sides by 5)

x=5

Step: Substitute 5 for x in y=x−2:

y=x−2

y=5−2

y=3(Simplify both sides of the equation)

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Find the values of x and y if (-x + 5, 1) = (-y, 2x - 5y).
MrMuchimi

Answer:

x = 8, y = 3

Step-by-step explanation:

Equating corresponding x and y coordinates , then

- y = - x + 5 ( multiply through by - 1 )

y = x - 5 → (1)

2x - 5y = 1 → (2)

Substitute y = x - 5 into (2)

2x - 5(x - 5) = 1 ← distribute and simplify left side

2x - 5x + 25 = 1

- 3x + 25 = 1 ( subtract 25 from both sides )

- 3x = - 24 ( divide both sides by - 3 )

x = 8

Substitute x = 8 into (1) for corresponding value of y

y = 8 - 5 = 3

7 0
3 years ago
Charles has 3/5 the amount of money Di has. How much money does charles have if Di has $6 more than him?
DaniilM [7]
Charles = Di multiplied by 3/5
Charles = Di minus 6
x multiplied by .6 = x - 6
15 multiplied by .6 = 15 - 6

Di = 15
Charles = 9
6 0
4 years ago
Which angle pair represents same-side interior angles?
larisa [96]

Answer:

A

Step-by-step explanation:

3 and 5 are both inside the diagonal lines

5 0
3 years ago
Tootsie rolls cost $0.02 each and Peppermint Patties cost $0.05 each. If you have $1.00, how many of each
Julli [10]

Answer:

With $1 you can buy 50 Tootsie rolls, and 20 Peppermint Patties.

Step-by-step explanation:

100 divided by 2 = 50

100 divided by 5 = 20

4 0
3 years ago
Read 2 more answers
An ice cream cone has a diameter of 6 inches and a height of 7 inches. What number can be used to complete the volume
katrin2010 [14]

Answer:

The volume of ice cream cone is 66 cubic inch.

Step-by-step explanation:

Diameter of ice cream cone is 6 inches

Height of the cone is 7 inches

The volume of a cone shaped object is given by :

V=\dfrac{1}{3}\pi r^2h

Substituting all the values in above formula as:

V=\dfrac{1}{3}\times \dfrac{22}{7}\times 3^2\times 7\\\\V=66\ \text{inches}^3

So, the volume of ice cream cone is 66 cubic inch.

8 0
3 years ago
Read 2 more answers
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