Question

How many solutions does this equation have? 6x-2=6x+7

Answer 1

No Solutions!

$:\implies \sf 6x-2=6x+7$

$:\implies \sf 6x -2 -6x -7 = 0$

$:\implies \sf \cancel{6x} -2 -\cancel{6x} -7 = 0$

$:\implies \sf 0 =0$

Since, we got Left side as Zero which means Given equation has no solutions.

Answer 2

None, the equation 6x - 2 = 6x + 7 does not have any solutions.

What is an algebraic equation?

An algebraic equation is an equation that consists of numbers and variables. To solve the variables, there is a need to make use of some or all of the arithmetic operations such as:

• Addition
• Subtraction
• Division, and
• Multiplication

From the given equation:

6x - 2 = 6x + 7

Collect like terms

6x - 6x -2 - 7 = 0

0 - 9 = 0

Since there is no variable to solve for in the equation, we can conclude that the equation does not have any solutions.

Learn more about algebraic equations here:

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