Mathematics, 22.09.2019 13:30 leahpartaka03

The sum of two numbers is 83. if twice the larger number is added to three times the smaller number, the result is 197. find the numbers.

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Answers

THE LARGER NUMBER IS 52, WHILE THE SMALLER NUMBER IS 31.

solution
let assume the smaller to be y
let assume the larger number to be x

x + y = 83 1
2x + 3y = 1972

using simultaneous equation
make x the subject of formular in equation 1

x=83 - y 3

substitute equation 3 in equation 2
any where you see x replace it with 83-y in equation 2
2(83 - y) + 3y = 197
open the bracket by multiplying by 2 by the content of the bracket
166 - 2y + 3y = 197
-2y +3y = y
therefore:
166 + y = 197
collect like terms by taking 166 to the lefthand side of the equation
y = 197 - 166
y = 31.

substitute y in equation 2 above
x + 31 = 83
collect like terms by taking 31 to the lefthand side of the equation
x = 83 - 31
x = 52

X represent the larger number which is 52
Y represent the lsmaller number which is 31

Answer from: Quest

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

Answer from: Quest

this excerpt is taken from the book “we shall not be moved : the women’s factory strike of 1909 “ and is written by joan dash. it is the story of the great strike when almost 30thousand women working in factories in america formed a union to fight unsafe working conditions, long working hours and miserable wages.

question: which best states the author’s purpose for including this information in the text?

answer: to challenge the reader’s ideas about a historical event

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