Sum of the solutions of the equations \(3x - 2(2x-5) = 2(x+3) - 8\) and \(3x = 5x - \frac{8}{5}\) is:
\(\frac{24}{5}\)
Solving the first equation, \(3x - 2(2x-5) = 2(x+3) - 8\) simplifies to \(3x - 4x + 10 = 2x + 6 - 8\), that is \(-x + 10 = 2x - 2\).
This gives \(-3x = -12\), so \(x = 4\).
Solving the second equation, \(3x = 5x - \frac{8}{5}\) gives \(-2x = -\frac{8}{5}\), so \(x = \frac{4}{5}\).
The sum of the two solutions is \(4 + \frac{4}{5} = \frac{24}{5}\).
Hence, the sum of the solutions is \(\frac{24}{5}\).
Similar Questions
Three times of a natural number is 18 more than the number. Then, the number is :
If \(\dfrac{3y}{4}-1=\dfrac{y}{3}\), then \(y\) is equal to :
Important Questions from Linear Equation in 1 Variable
If a school of fish weighs 3 kg and each fish in the school weighs 150g, then the number of fish in the school is____.
What should be subtracted from p and added to q so that the resulting ratio becomes 1 : 5?
The cost of a pen is five times the cost of a pencil. I bought 8 pens and 4 pencils for Rs. 132. Find the cost of 5 pens and 5 pencils.
Find the value of k, for which the system of equations kx + 3y = 26 and 21x + (k + 2)y = 71 + k has infinitely many solutions.
If 5x + 5 (2 - x) + 10 = 4x - 6 then value of x is :
