Question
The solution of the equation 120x + 60 = 30(4x + 2) is
- x = 5
- x = 3
- The equation has infinitely many solutions
- The equation has no solution
Hint:
An equation contains constants, variables and an equal sign. It has two sides called LHS and RHS. A linear equation in one variable is an equation with only one variable and the highest power of the variable should be one. Here, we have to find the solutions of linear equation in one variable which can be done by operating both sides by same term.
The correct answer is: The equation has infinitely many solutions
The given question is 120x+60= 30(4x+2).
Here, we have to find the solution of the equation.
Step 1: Solve the bracket in RHS side.
120x+60=120x+60
Since, the variable and constant terms on both sides of the equation are same.
So, the equation has infinitely many solutions.
Therefore, the correct option is c,i.e., the equation has infinitely many solutions.
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions have same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
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