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Art [367]
3 years ago
15

X and y is the variable 4x-7y=3 x-7y=-15 what is the answer please

Mathematics
1 answer:
andrezito [222]3 years ago
6 0
Use linear combination to solve this. It is much faster than substitution. I would start by multiplying the bottom equation by -1.
<span>4x-7y=3
-x+7y=15</span>
Then, add the two equations together. The result is:
3x=18.
You've eliminated one variable. Now you can solve for the other one.
Divide both sides by 3 to get
x=6
Plug this into one of the original equations, then solve for y
-(6)+7y=15
7y=21
y=3

Check your work by plugging these values into both equations to see if they remain true

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Find the sum of the first 47 terms of the following series, to the nearest integer.
topjm [15]

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

18-13=5,\:\quad \:23-18=5

As the difference between all the adjacent terms is the same.

so

d=5

a_1=13

Arithmetic sequence sum formula

n\left(a_1+\frac{d\left(n-1\right)}{2}\right)

Put the values

d=5

a_1=13

n=47

=47\left(13+\frac{5\left(47-1\right)}{2}\right)

=47\left(13+\frac{5\left(47-1\right)}{2}\right)

=47\left(13+115\right)

=47\cdot \:128

=6016

Thus, the sum of the first 47 terms of the given series = 6016

8 0
3 years ago
The rules of a contest say that there is a 5% chance of winning a prize. 400 people enter the contest. Predict how many people w
Nataly [62]

Answer:

20 people

Step-by-step explanation:

In this problem, you are solving for 5% of 400. All percentages are out of 100, meaning 5% equals 0.05 because 5 ÷ 100 = 0.05

1. Multiply 400 by 5% (0.05)

400 · 0.05 = 20 people

8 0
4 years ago
Read 2 more answers
Hey! i’ll give brainliest help thanks
valkas [14]
The answer to this is A
4 0
3 years ago
Read 2 more answers
How do you rewrite equations in slope intercept form ?
PIT_PIT [208]
Slope intercept form is y = mx+b, so you can see that you set the equation equal to y. So if the equation is 2y+3x=6, then you solve for y to put it in slope intercept form.
2y + 3x = 6
2y = -3x + 6
y = (-3/2)x + 3

Keep in mind that the term with the x has to be before the constant, so it can't be y = 3 -(3/2)x

And by the way m is the slope and b is y-intercept, so in <span>y = (-3/2)x + 3, -3/2 is slope and (0,3) is y-intercept</span>
3 0
3 years ago
Can someone help with this?
valina [46]

Answer:

(a) is 8 x 7 x 3 = 168

(b) is 8 x 7 = 56

(b2) is weird I don't know what it's asking

7 0
2 years ago
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