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luda_lava [24]
3 years ago
12

Solve this system of linear equations.separate the x- and y-value with a comma. -6x=-4-y -7x=-22+y.

Mathematics
2 answers:
scZoUnD [109]3 years ago
8 0

Answer:

(2,8)

Step-by-step explanation:

Add them together to get rid of the y.

-6x = -4 - y

-7x = -22 + y

=

-13x = -26

Then solve for x.

-13x/-13 = -26/-13

x = 2

Now plug in the x value into either equation and solve for y.

-7(2) = -22 + y

-14 = -22 + y

-14 + 22 = -22 + 22 + y

8 = y

So...

x = 2

y = 8

(2,8)

Eddi Din [679]3 years ago
6 0

Answer:

The solution is (-2, -16).

Step-by-step explanation:

-6x = -4-y  can be solved for y:  y = 6x - 4

-7x = -22 + y

In the second equation, substitute 6x - 4 for y:

-7x = -22 + 6x - 4

Grouping like terms:  0 = -22 + 6x + 7x - 4, or

                                   -26  = 13x

So x = -2.  If x = -2, we can obtain the value of y from y = 6x - 4 (see above).

y = 6(-2) - 4 = -16

The solution is (-2, -16).

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Taye recruits two people to be election campaign volunteers. The next week he ask each of those volunteers to recruit two more c
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Using a geometric sequence, it is found that:

a) For the first 5 weeks, the numbers are: 2, 4, 8, 16, 32

b) Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

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For this problem, on the first week there are 2 people, and since each new people involve two more, the common ratio is of 2, hence the parameters for the geometric sequence are:

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For the first 5 weeks, the numbers are:

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There will be 150 volunteers when a_n = 150, hence:

2 \times 2^{n - 1} = 150

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The above is because 2^7 = 128 and 2^8 = 256, and 128 < 150 < 256.

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More can be learned about geometric sequences at brainly.com/question/11847927

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