Solve the following linear equations.
Q.1
Sol. Given,
Transposing from RHS to LHS and
from LHS to RHS, we get,
Q.2
Sol. Given,
Q.3
Sol. Given,
Transposing from RHS to LHS and 7 from LHS to RHS, we get,
Q.4
Sol. Given,
5 (x - 5) = 3 (x - 3)
5x - 25 = 3x - 9
Transposing 3x from RHS to LHS and 25 from LHS to RHS, we get,
5x - 3x = -9 + 25
2x = 16
x = 8
Q.5
Sol. Given,
Transposing from RHS to LHS, we get,
Q.6
Sol. Given,
Transposing from RHS to LHS, we get,
Simplify and solve the following linear equations.
Q.7 3(t-3) = 5(2t+1)
Sol. Given, 3(t-3) = 5(2t+1)
3t - 9 = 10t + 5
3t-10t = 5 + 9
-7t = 14
t = -2
Q.8 15 (y-4) -2 (y-9) + 5 (y+6) = 0
Sol. Given, 15 (y-4) -2 (y-9) + 5 (y+6) = 0
15y - 60 - 2y + 18 + 5y + 30 = 0
18y - 12 = 0
18y = 12
Q.9 3(5z - 7) - 2 (9z - 11) = 4 (8z - 13) -17
Sol. Given, 3(5z - 7) - 2 (9z - 11) = 4 (8z - 13) -17
15z - 21 -18z + 22 = 32z - 52 - 17
-3z + 1 = 32z - 69
-3z -32 z = - 69 - 1
-35 z = -70
z = 2
Q.10 0.25 (4f - 3) = 0.05 (10f - 9)
Sol. Given, 0.25 (4f - 3) = 0.05 (10f - 9)
1.00 f -0.75 = 0.50 f - 0.45
1.00 f -0.50 f = -0.45 +0.75
0.50 f = 0.3
f = 0.6
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