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Solve the following equations. Show all work. No decimal answers – leave as reduced

fractions if necessary. (1 pt. each)
1. 5x – 3 = 17
2. 2 – 8x = -22
3. 4(3x – 1) = 10
4. -10 = a
5. 8(y – 1) – y = 2y + 7
6. x - 9 = 15
7. 3(2a + 1) = -5(a + 6)
8. 4 – (2y + 5) = 3(1 – 4y)
9. - 11 =
10. 4x – 3 + 7x – 1 = 2x + 3 – 9x - 5
Please hurry and help me

User Ajith M A
by
8.0k points

1 Answer

4 votes
1 ) 5x - 3 =17
+3 +3

5x = 20
x = 4

2) 2 - 8x = - 22
-2 -2
-8x = - 24
x = 3

3) 4 ( 3x - 1) = 10
12x - 4 = 10
+4 +4
12x = 14
x = 7/6

5) 8 ( y - 1 ) - y = 2y + 7
8y - 8 - y = 2y + 7
7y - 8 = 2y +7
-2y -2y
5y - 8 = 7
+8 +8
5y = 15
y = 3

6) x - 9 = 15
+9 +9

x = 24

7) 3(2a + 1) = -5(a + 6)

6a + 3 = -5a - 30
+5a +5a

11a + 3 = -30
-3 -3
11 a = -33
a = - 3

8) 4 – (2y + 5) = 3(1 – 4y)

4 - 2y - 5 = 3 - 12y
-2y - 1 = 3 - 12y
+12y +12y

10y - 1 = 3
+1 +1

10y = 4

y = 2/5

10) 4x – 3 + 7x – 1 = 2x + 3 – 9x - 5

11x - 4 = - 7x - 2
+7x +7x

18x - 4 = -2
+4 +4

18x = 2

x = 1 / 9

User Jakemmarsh
by
8.4k points

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