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Solve \( \dfrac{3x}{10} + \dfrac{2x}{5} = \dfrac{7x}{25} + \dfrac{29}{25} \)
Solve \(\dfrac{12}{7}(x – 5) = 24 + 8x \)
Solve \( \dfrac{x – 6}{4} – \dfrac{x – 4}{6} = 1 – \dfrac{x}{10} \)
Solve 0.3x + 0.4 = 0.28x + 1.16
0.3x + 0.4 = 0.28x + 1.16
0.3x – 0.28x = 1.16 – 0.4
0.02x = 0.76
x = 38
Solve \(m – \dfrac{m – 1}{2} = 1 – \dfrac{m – 2}{3} \)
The difference between two numbers is 7. Six times the smaller plus the larger is 77. Find the number.
6(x – 7) + x = 77
7x = 77 + 42
7x = 119
x = 17 x – 7 = 17 – 7 = 10
The numbers are 10,17.
What is the value of ‘x’ in \( \dfrac{3x – 1}{5} – \dfrac{1 + x}{2} = 3 – \dfrac{x – 1}{2} \) ?
7 subtracted from \( \dfrac{5}{2}\) of a number results in 23. What is the number ?
Let the number be x.
P is a linear equation. How many solutions does p have ?
A linear equation has only one variable of degree 1. So it has only one solution.
\(M = \dfrac{2x + 5}{7} \ and \ N = \dfrac{3x – 2}{4} \). What is the value of x that makes M = N ?
144 beads were shared equally among some children. If there were 3 children fewer, each child would have 16 beads each. How many children were there ?
Let the number of children be x.
Solve 19x + 2 = 40.
19x + 2 = 40
19x = 38
x = 2
Solve 3(y + 3)2(y 1) = 5(y – 5)
3(y + 3) – 2(y 1) = 5(y – 5)
3y + 9 – 2y + 2 = 5y – 25
y + 11 = 5y 25
y = 9
The solution of 2(3x – 7) + 4(3x + 2) = 6(5x + 9) + 3 is
which is a rational number
A streamer goes downstream from one port to another in 6 hours. It covers the same distance upstream in 7 hours. If the speed of the stream is 2km/hr. Find the speed of the streamer in still water.
Let the speed of the streamer in still water be x km/hr.
6 (x + 2) = 7(x – 2)
6x – 7xx = 14 12
x = 26 km/hr
Solve \(\dfrac{x}{2} + \dfrac{3}{2} = \dfrac{2x}{5} – 1 \)
Solve \(\dfrac{6x – 2}{9} + \dfrac{3x + 15 }{18} = \dfrac{1}{3}\)
Find the number which when divided by 9 gives 4.
The sum of the two consecutive even numbers is 86. Find the numbers.
x + x + 2 = 86
2x = 84
x = 42
x + 2 = 44
Find two numbers such that one of them exceeds the other by 9 and their sum is 81.
x + y = 81 —– (1)
x – y = 9 —–(2)
from (1) and (2) x = 45, y = 36