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3 years ago

How do you solve equations that contain like terms

1 answer:

lina2011 [118]3 years ago

3 0

To solve an equation that contains LIKE TERMS you just have to combine them together.

For example, 3x-22+2x=48.

3x-22+2x=48 Add both x's together.

5x-22=48 <this will be the answer. After that, just solve it like a regular equation.

If the equation that you're trying to solve looks like this, 5x-41=59+9x
Subtract the smallest number on both sides.

5x-41=59+9x
-5x -5x
-41=59+4x <this will be your answer and then you just have to solve it like a regular equation

MARK BRAINLIEST? HOPE IT HELPS. :)

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The sum of 1/6,2/3, and 1/4 is

Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }$

A fraction represents part of a whole.
A fraction consists of a numerator and a denominator. i.e., $\boxed{ \ \frac{numerator}{denominator} \ }$ .
The numerator = the number of equal parts of a whole.
The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

Multiples of 3: $\boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }$
Multiples of 4: $\boxed{ \ \{4, 8, 12, 16, ... \} \ }$
Multiples of 6: $\boxed{ \ \{6, 12, 18, ... \} \ }$

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

$\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }$

$\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }$

$\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }$

Then we continue adding fractions.

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }$

$\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }$

Thus, the result is $\boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }$

<h3>Learn more</h3>

²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
100 is 1/10 of what? brainly.com/question/96535
Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

6 0

3 years ago

Read 2 more answers

What is x and y equal in: -2X-y=3 and x+2y=4 (find x and y using elimination)

makvit [3.9K]

-2x-y=3 ...(1)
x+2y=4 ...(2)
multiply (2) by 2 and add to (1)
-2x-y+2x+4y=3+8
3y=11
y=11/3
from (2)
x=4-2y=4-2(11/3)
or x=4-(22/3)
=(12-22)/3=-10/3

3 0

2 years ago

If you spin the spinner two times, how many possible outcomes are there?

inessss [21]

Answer:

1 Answer. The chance of anding on A for one spin is 90+45360=38. So the probability of that happening twice in a row is 38×38=964.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

7. Question Category: Solving Quadratic Equations by Factoring Select the correct answer. Solve the following quadratic equation

Alona [7]

Answer:

Option B

Step-by-step explanation:

Find the zeros of each factor thus,

4x+3=0

x=-¾

And x-6=0

x=6

7 0

3 years ago

Miss Osborne enlarges a 4-inch by 6-inch photograph by 2.5x. What are the dimensions of the enlarged photograph?

Valentin [98]

Answer:

Step-by-step explanation:

enlarging the photograph by 2.5x means multiplying all of the sides of the photograph 2.5 times

Then

the dimensions of the enlarged photograph are:

Width = 4 ×2.5 = 10

Length = 6 ×2.5 = 15

4 0

1 year ago