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4 years ago

15

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

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.

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$d=5$

$a_1=13$

Arithmetic sequence sum formula

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

Put the values

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$a_1=13$

$n=47$

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

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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

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2 years ago