Question
Teacher asks her students the solution of 5x + 3 = 0.5(10x + 4)
Adam: The solution of the equation is 0.35
Steve: The solution of the equation is 5.3
Tony: The equation has no solution
Mary: The equation has infinitely many solutions
Among the four students, the one that gave the correct answer is
- Adam
- Steve
- Tony
- Mary
Hint:
An equation has a constant, variable and an equal to sign. It has two sides LHS and RHS. A linear equation in one variable is equation with only one variable and in which the highest degree is 1. Here, we have to find the value of unknown value, by operating both sides with the same number so that the equation will be balanced.
The correct answer is: Tony
In the given question, the equation is 5x + 3 = 0.5(10x + 4).
We have to find the value of x.
Step 1: Solve the bracket on RHS side.
5x+3= 5x+2
Bring all the terms containing variables in one side by operating same numbers on both sides to balance the equation.
Step 2: Subtract 5x on both sides.
5x+3-5x= 5x+2-5x
3=2
Here, the variable terms got cancelled from both the sides which means the equation has no solution.
Therefore, Tony gave the correct answer, i.e., no solution.
A linear equation in one variable is equation with only one variable and in which the highest degree is one. A linear equation in one variable will have no solution only if the variable term on both the sides are same and on operating got cancelled leaving behind the constant terms.
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y = 4,
