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Summary Solving Equations with Fractions

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Solving equations with fractions involves applying operations to isolate the variable and find its value. Start by clearing the fractions using the least common denominator. Then, perform operations to simplify the equation until the variable is alone on one side. Finally, solve for the variable by performing the inverse operation. Always check your solution by substituting it back into the original equation to ensure it satisfies the equality.

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2.3 - Solving Equations with Fractions
Warm-up:

1. Solve for the variable. Make sure to do a LS/RS check.
a) b) xT'v /V"v C) X\y X 22v
—4 w — 6 = 3w + 15 7(4 - 3x) = —8(2x - 1) -2(7 -3y) = 2 + 4(y - 3)

-Hud -3'as - 32> 3G - -"I (oX 4 2 - G + Q'a a ^.33^ -/ 2
- Ui~i(oQA T H 4> ! o
- 2VkJ a c3 \ "3 IX -+4 Y - S ’-2 S’
c 0-
(A/ rrt 2-1 -CTy 4 -20
60 4'3 , —10
l/J <-■ —‘'i.
/ - 'j42
- r
- n
v - M
y -= H 4 A
2J2..........
s - 2
.— L-{ 04 3 2^ -t (s~
f "o
3(^3)-+13 f)
AC-h'ii) 4 24 33
— ('l 4 (4
- a 4(4 4l0 as s 4 2)
(2 = G y («- 3 (> -30})
'S 4)
- A 4?) -5( A-t) - a 4/30
- A £= -Go |
- -st
-2 -4
-2 ' - -5,
Steps for Solving Equations with Fractions
1. Find the: CovjO(L.4,G' CoW^On jQ4(W4t YWAeTf ^ ^ C ^3



2. I‘ •:
At Sy v/V_____ both sides of the equation by the ic-o .
This means that every term will be: fy\U 12 DVq 2 3*. | AW uc(A

3. 4' I ■' /1' ( ' V by clearing the 4. (iforr j
V- 0

4. Solve as usual (using steps from yesterday’s class)

5. Do a CS/g- X CWdC- may have to work with fractions.

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Institution
Secondary school
Study
10th Grade
Course
School year
6

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Uploaded on
May 2, 2024
Number of pages
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Written in
2023/2024
Type
SUMMARY

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