Question
John says, “two times a number is subtracted from five results three”, the solution of the John equation is
- The number is 2
- The number is 1
- The number is 0
- The equation has no solution
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: The number is 1
In the given question the equation is in the form of words which is two times a number is subtracted from five results three.
We can solve the equation using the following steps:
Step1: Convert the word problem into numerical equation.
Let the number be x. So, the equation will be
5-2x= 3
Bring all the terms containing variables in one side by operating same numbers on both sides to balance the equation.
Step 2: Add 2x on both the sides.
5-2x+2x= 3+2x
5= 3+2x
Step 3: Subtract 3 on both the sides.
5-3=3+2x-3
2=2x
Step 4: Divide both the sides by 2.
So, the number is 1.
Therefore, the correct option is b,i e., 1.
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
Related Questions to study
The equation among the following that have infinitely many solutions is
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