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Katena32 [7]
4 years ago
15

X + 2y = 3 5x + 3y = 8

Mathematics
1 answer:
Lerok [7]4 years ago
5 0
X + 2y = 3 Solve the Equation
- 2y -2y
x = 3 - 2y

5x + 3y = 8
5(3 - 2y) + 3y = 8 Substitute x

15 - 10y + 3y = 8 Combine Like Terms
15 - 7y = 8
-15 -15
-7y = -7
Divide 7 from y (Do on both sides)

y = 1

x = 3 - 2(1) Substitute y
x = 3 - 2

x = 1

(X, Y) = (1, 1)


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3 years ago
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

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

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a_1=13

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

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8 0
3 years ago
Find point G on AB such that the ratio of AG to GB is 3:2
Alexxx [7]

The point G on AB such that the ratio of AG to GB is 3:2 is; G(4.2, 2)

How to partition a Line segment?

The formula to partition a line segment in the ratio a:b is;

(x, y) = [(bx1 + ax2)/(a + b)], [(by1 + ay2)/(a + b)]

We want to find point G on AB such that the ratio of AG to GB is 3:2.

From the graph, the coordinates of the points A and B are;

A(3, 5) and B(5, 0)

Thus, coordinates of point G that divides the line AB in the ratio of 3:2 is;

G(x, y) = [(2 * 3 + 3 * 5)/(2 + 3)], [(2 * 5 + 3 * 0)/(2 + 3)]

G(x, y) = (21/5, 10/5)

G(x, y) = (4.2, 2)

Read more about Line segment partition at; brainly.com/question/17374569

#SPJ1

8 0
2 years ago
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