Solve the following linear equation
3x +2 = 20
Answers
Step-by-step explanation:
3x+2x+4=20-2x+5
=>5x+4=25-2x
=>5x+2x=25-4
=>7x=21
=>x=21÷7
=>x=3
hope it helps...
Given :-
• A linear equation ___ 3x +2 = 20
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,
3x + 2 = 20
It can be written in the form of ax + b = 0 by subtracting 20 from both sides. However, we can solve this equation by performing algebraic operations.
3x + 2 = 20
⟹ 3x = 18 ( Subtract 2 from both sides)
( Multiply both sides by ⅓ or, divide by 3)
⟹ x = 6
Hence, the solution is x = 6
Verification :-
3x + 2 = 20
⟹ 3 × 6 + 2 = 20
⟹ 20 = 20
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.