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Find the solution to this equation.

[tex]\[ 12x - 300 = 3(4x + 101) \][/tex]

A. No solution
B. All real numbers

Sagot :

GinnyAnsweridn
To determine whether there are solutions to the equation

[tex]\[ 12x - 300 = 3(4x + 101), \][/tex]

we'll go through solving it step by step.

Step 1: Distribute the 3 on the right-hand side of the equation.

[tex]\[ 12x - 300 = 12x + 303. \][/tex]

Step 2: To isolate the variable terms on one side, let's subtract [tex]\(12x\)[/tex] from both sides of the equation.

[tex]\[ 12x - 300 - 12x = 12x + 303 - 12x. \][/tex]

This simplifies to:

[tex]\[ -300 = 303. \][/tex]

Step 3: Analyze the result.

The final equation, [tex]\(-300 = 303\)[/tex], is a contradiction because [tex]\(-300\)[/tex] does not equal [tex]\(303\)[/tex]. This indicates that there are no values of [tex]\(x\)[/tex] that can satisfy the original equation.

Conclusion:

There are no solutions to the equation. Therefore, the correct result is:

[tex]\[ \boxed{\text{No solution}}. \][/tex]
Wegnerkolmp2741oidn

Answer:

A. No solution

Step-by-step explanation:

12x - 300 = 3(4x + 101)

To solve, distribute the 3.

12x - 300 = 3*4x +3* 101

12x -300 = 12x +303

Subtract 12x from each side.

-300 = 303

Since this is not a true statement, the equation is not true and cannot be solved.

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