Sagot :
1) -8+2 = x-3
Step One: Combine like terms.
-8+2 = x-3
-6 = x-3
Step Two: Transpose -3 to the left side. (Note: When you transpose, the sign must change.)
-6 = x-3
-6 + 3 = x
Step Three: Combine like terms.
-6 + 3 = x
-3 = x
The value of x is -3.
Checking:
-8+2 = x-3
-8+2 = (-3)-3
-6 = -6
2) 5+x = 1/2-1/3
5+x = 1/6
x = 1/6 - 5
x = -29/6 or -4.833...
3) 1/4+x = 1/2-1/3
1/4+x = 1/6
x = 1/6 - 1/4
x = -1/12 or -0.0833...
4) 1-1/2+m = 3/4+1/2
1/2+m = 5/4
m = 5/4 - 1/2
m = 3/4
5) (2/3)x = 4
x = 4
2
3
x = 12/2
x = 6
6) (1/5)y--7
(1/5)y - (-7)
1/5 y + 7
---Kein09---
Step One: Combine like terms.
-8+2 = x-3
-6 = x-3
Step Two: Transpose -3 to the left side. (Note: When you transpose, the sign must change.)
-6 = x-3
-6 + 3 = x
Step Three: Combine like terms.
-6 + 3 = x
-3 = x
The value of x is -3.
Checking:
-8+2 = x-3
-8+2 = (-3)-3
-6 = -6
2) 5+x = 1/2-1/3
5+x = 1/6
x = 1/6 - 5
x = -29/6 or -4.833...
3) 1/4+x = 1/2-1/3
1/4+x = 1/6
x = 1/6 - 1/4
x = -1/12 or -0.0833...
4) 1-1/2+m = 3/4+1/2
1/2+m = 5/4
m = 5/4 - 1/2
m = 3/4
5) (2/3)x = 4
x = 4
2
3
x = 12/2
x = 6
6) (1/5)y--7
(1/5)y - (-7)
1/5 y + 7
---Kein09---
1) -8 + 2 = x - 3
-6 = x - 3
x = - 6 + 3
x = - 6
2) 5 + x = 1/2 - 1/3
LCD: (2)(3) = 6
(6)5 + (6)x = (6) 1/2 - (6) 1/3
30 + 6x = 6/2 - 6/3
30 + 6x = 3 - 2
6x = 1 - 30
6x/6 = -29/6
x = -29/6
3) 1/4 + x = 1/2 - 1/3
LCD of 4, 2, 3 is 12
(12) (1/4) + (12)(x) = (12)(1/2) - (12)(1/3)
3 + 12x = 6 - 4
12x = 2 - 3
12x/12 = -1/12
x = -1/12
4) 1 - 1/2 + m = 3/4 + 1/2
LCD of 2, 4 is 4
(4)(1) - (4)(1/2) + (4)(m) = (4)(3/4) + (4)(1/2)
4 -2 + 4m = 3 + 2
2 + 4m = 5
4m = 5-2
4m = 3
4m/4 = 3/4
m = 3/4
5) (2/3)x = 4
(3/2)(2/3) x = 4(3/2)
x = 12/3
x = 6
6) (1/5)y - - 7 (I hope you typed the given correctly)
(1/5)y + 7
If the given is (1/5)y = 7 (since this is Property of Equality)
(1/5)y = 7
(5/1)(1/5)y = 7(5/1)
y = 35
-6 = x - 3
x = - 6 + 3
x = - 6
2) 5 + x = 1/2 - 1/3
LCD: (2)(3) = 6
(6)5 + (6)x = (6) 1/2 - (6) 1/3
30 + 6x = 6/2 - 6/3
30 + 6x = 3 - 2
6x = 1 - 30
6x/6 = -29/6
x = -29/6
3) 1/4 + x = 1/2 - 1/3
LCD of 4, 2, 3 is 12
(12) (1/4) + (12)(x) = (12)(1/2) - (12)(1/3)
3 + 12x = 6 - 4
12x = 2 - 3
12x/12 = -1/12
x = -1/12
4) 1 - 1/2 + m = 3/4 + 1/2
LCD of 2, 4 is 4
(4)(1) - (4)(1/2) + (4)(m) = (4)(3/4) + (4)(1/2)
4 -2 + 4m = 3 + 2
2 + 4m = 5
4m = 5-2
4m = 3
4m/4 = 3/4
m = 3/4
5) (2/3)x = 4
(3/2)(2/3) x = 4(3/2)
x = 12/3
x = 6
6) (1/5)y - - 7 (I hope you typed the given correctly)
(1/5)y + 7
If the given is (1/5)y = 7 (since this is Property of Equality)
(1/5)y = 7
(5/1)(1/5)y = 7(5/1)
y = 35