The answer to the equations are:
1. x = -1.969
2. m = 0.748
3. v = -8.8
4. x = -3
5. u = 4
6. a = -3/70
7. p = -5
8. t = 9
How to calculate the variables?
Based on the information given, it should be noted that an equation simply means a formula that can be used to express the equality of two expressions.
1x - 1 - 4.2x = 5.3
Collect the like terms
1x - 4.2x = 5.3 + 1
-3.2x = 6.3
x = -1.969
7/8m - 4/7 - 5/6m = - 3/4
Collect the like terms
0.875m - 0.5714 - 0.833 = -0.75
0.875m = -0.75 + 0.5714 + 0.833
0.875m = 0.6544
m = 0.6544/0.875
m = 0.748
4.3v + 10.75 - 4v = 8.11
Collect the like terms
4.3v - 4v = 8.11 - 10.75
0.3v = -2.64
v = -2.64/0.3
v = -8.8
9/7 + 9/7x - 6/7x = 0
Collect the like terms
9/7x - 6/7x = 0 - 9/7
3/7x = -9/7
x = -9/7 × 7/3
x = -3
6.9u - 2 - 3.2u - 10 = 2.8
Collect the like terms
6.9u - 3.2u = 2.8 + 12
3.7u = 14.8
u = 14.8/3.7
u = 4
8/5 = - 4a + 7/5 - 2/3a
Collect the like terms
4a + 2/3a = 7/5 - 8/5
4 2/3a = -1/5
14/3a = -1/5
a = -1/5 × 3/14
a = -3/70
8p + 6 - 4p = -14
Collect like terms
8p - 4p = -14 - 6
4p = -20
p = -20/4
p = -5
7 - (5t - 13) = -25
Collect like terms
-5t = -25 - 7 - 13
-5t = -45
t = -45/-5
t = 9
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