Solve the linear equation
4x +4 = 16
Answers
Given :-
• A linear equation ___ 4x +4 = 16
To Find :-
• Value of x
Solution :-
We know, a linear equation in one variable can be written in the form
ax + b = 0
Given that,
4x +4 = 16
It can be written in the form of ax + b = 0 by subtracting 16 from both sides. However, we can solve this equation by performing algebraic operations.
4x +4 = 16
⟹ 4x = 12 ( Subtract 2 from both sides)
( Multiply both sides by 1/4 or, divide by 4)
⟹ x = 3
Hence, the solution is x = 3
Verification :-
4x +4 = 16
⟹ 4 × 3 + 4 = 16
⟹ 16 = 16
L.H.S = R.H.S
( Verified)
✰ What's a linear equation ?
⟹ It’s an equation of a straight line ( written in one variable)
a linear equation in one variable can be written in the form
ax + b = 0
( Where, a & b are real numbers, a ≠ 0)
✰ What we need to do for solving a linear equation ?
⟹ We may add, multiply, subtract or divide an equation by a number. But remember __ we can't divide by (0) zero. Sometimes , we need to apply the distributive property for solving a linear equation. Isolation of the variable on one side is also needed for solving a linear equation.