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If 3x - 14 = 4 then x =
9
9
6
6
None of the above
6
Mentally add 14 to 4 to get 18, then divide by the coefficient 3 to immediately arrive at 6.
Linear equation: 3x - 14 = 4
axтИТb=cтЯ╣x=ac+bтАЛ
Mentally add 14 to 4 to get 18, then divide by the coefficient 3 to immediately arrive at 6.
A common mistake is adding 14 to 4 and then incorrectly subtracting 3 instead of dividing by it.
Add constant to both sides
To isolate the term with x, add 14 to both sides of the equation.
3xтИТ14+14=4+14
Simplify the equation
Simplify the arithmetic on both sides to get the term involving the variable.
3x=18
Solve for x
Divide both sides by the coefficient of x, which is 3.
x=318тАЛ=6
C is correct because solving the linear equation 3xтИТ14=4 yields x=6.
This fundamental isolation technique is the basis for solving higher-order algebraic expressions and systems of linear equations.
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