All categories

3 years ago

3x + 4y = 27 5x - 3y = 16

Mathematics

2 answers:

maks197457 [2]3 years ago

5 0

Answer:

x = 5 , y = 3

Step-by-step explanation:

Solve the following system:

{3 x + 4 y = 27 | (equation 1)

5 x - 3 y = 16 | (equation 2)

Swap equation 1 with equation 2:

{5 x - 3 y = 16 | (equation 1)

3 x + 4 y = 27 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{5 x - 3 y = 16 | (equation 1)

0 x+(29 y)/5 = 87/5 | (equation 2)

Multiply equation 2 by 5/29:

{5 x - 3 y = 16 | (equation 1)

0 x+y = 3 | (equation 2)

Add 3 × (equation 2) to equation 1:

{5 x+0 y = 25 | (equation 1)

0 x+y = 3 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 5 | (equation 1)

0 x+y = 3 | (equation 2)

Collect results:

Answer: {x = 5 , y = 3

Serhud [2]3 years ago

3 0

Answer:

The lines will cross at (5,3)

Step-by-step explanation:

You might be interested in

PLEASE HELP! No phony answers, thanks! Happy holidays, Merry Christmas!!

larisa [96]

Step-by-step explanation:

(f+g)(x) means we just add the 2 functions, so we have

(x-3) + 2x² = 2x² + x - 3

(f-g)(x) means we subtract g(x) from f(x), so we have

(x-3) - (2x²) = -2x²+x-3

Assuming that the dot signifies a multiplication sign and not a composition sign, we have

(f*g)(x) = f(x) * g(x)

= (x-3) * 2x²

= 2x³ - 6x²

Plugging -2 in, we get

2(-2)³-6(-2)² = -16 -24 = -40

3 0

3 years ago

An infinite geometric series has 1 and 1/5 as its first two terms: 1, 1/5, 1/25, 1/125, . . . What is the sum, S, of the infinit

dezoksy [38]

Answer: $\dfrac{5}{4}$

Step-by-step explanation:

Given: The first term of Geometric series : a=1

The seconds term of Geometric series : $ar=\dfrac{1}{5}$

The common ratio between the terms is given by :-

$r=\dfrac{ar}{a}=\dfrac{\frac{1}{5}}{1}=\dfrac{1}{5}$

We know that the sum of infinite geometric series is given by :-

$S_{\infty}=\dfrac{a}{1-r}\\\\\Rightarrow\ S_{\infty}=\dfrac{1}{1-\frac{1}{5}}=\dfrac{1}{\frac{4}{5}}\\\\\Rightarrow\ S_{\infty}=\dfrac{5}{4}$

Hence, the sum of the given infinite series = $\dfrac{5}{4}$

7 0

3 years ago

Andrea has 1/4 of a sack of rice. She divides the rice equally

olga nikolaevna [1]

Answer:

1/28 of the sack

Step-by-step explanation:

3 0

3 years ago

PLZ HELP!! 20 pts! Find the value of x for the following triangle below.

GaryK [48]

The answer to your question is 135 degrees. You take 180-45=135

8 0

4 years ago

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

kykrilka [37]

Answer:

Step-by-step explanation:

the blue circle, 12 16.

The middle circle: 12, 14.

The last, 6.

4 0

3 years ago