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Nina [5.8K]
2 years ago
10

Solving systems equations: substitution y=6x+5 y=4x+5

Mathematics
2 answers:
Andreas93 [3]2 years ago
8 0
6x + 5 = 4x + 5
2x + 5 = 5
2x = 0, x = 0
Y = 6(0) + 5, y = 5
Solution: x = 0, y = 5
malfutka [58]2 years ago
3 0

Answer:

y=6x+5  →equation 1

y=4x+5 → equation 2

you can either substitute equation 1 in 2 or equation 2 in 1

substituting equation 1 in 2,

y = 4x + 5

6x + 5 = 4x + 5

6x - 4x = 5 - 5

2x = 0

x = 0/2

x = 0

substituting x = 0 in equation 1, (to get y)

y = 6x + 5

y = 6(0) + 5

y = 0 + 5

y = 5

hope it helps you!!

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A box contains three plain pencils and 5 pens. A second box contains three colored pencils and three crayons. One item from each
worty [1.4K]

Answer:

Therefore the probability that a pen from the first box and a crayon from the second box are selected is \frac5{16}

Step-by-step explanation:

Probability:

The ratio of the number of favorable outcomes to the number all possible outcomes of the event.

Probability=\frac{\textrm{The number favorable outcomes}}{\textrm{The number all possible}}

Given that,

Three plain pencils and 5 pens are contained by the first box.

Total number of pens and pencils is =(3+5)=8

The probability that a pen is selected from the first box is

=P(A)

=\frac{\textrm{The number pens}}{\textrm{Total number of pens and pencils}}

=\frac{5}{8}

A second box contains three colored pencils and three crayons.

Total number of pencils and crayons is =(3+3)=6

The probability that a crayon is selected from the second box is

=P(B)

=\frac{\textrm{The number of crayon}}{\textrm{Total number of crayons and pencils}}

=\frac{3}{6}

Since both events are mutually independent.

The required probability is multiple of the events

Therefore the required probability is

=\frac58\times \frac36

=\frac5{16}

4 0
3 years ago
Use trigonometry to find the value of x in the picture above.
bagirrra123 [75]

sin(48°) = x / 1200ft. Multiply each side by 1200ft.

1200ft × sin(48°) = x.

x = 891.77 ft.

4 0
3 years ago
Write an equation for the transformation of y = x.
Ivanshal [37]

Answer:

отлично вы молодец болшая у вас всё правилно

7 0
3 years ago
Equations
Flauer [41]

Answer:

Step-by-step explanation:

-3x + 4y = -18

8x - 4y =   28

5x = 10

x = 2

4 - y = 7

-y = 3

y = -3

(2, -3)

8 0
3 years ago
Read 2 more answers
Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to
san4es73 [151]

Answer:

28 different ways

Step-by-step explanation:

This is a combination question. Combination has to do with selection.

Total number of element in the set = 8

Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}

Total number divisible by 6 or 8 is 6

The number of ways we can choose 6 items from 8 is expressed as;

8C6 = 8!/(8-6)!6!

8C6 = 8!/(2)!6!

8C6 = 8*7*6!/2!6!

8C6 = 8*7/2

8C6 = 56/2

8C6 = 28 ways

Hence there are 28 different ways

5 0
3 years ago
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