
How do you solve for t in \[7t = x\] ?
Answer
442.8k+ views
Hint:To find the value of t in terms of \[x\], just isolate the terms with respect to the variable asked i.e., here in this question we need to divide both sides of the expression by 7, hence by solving this we can get the expression of t.
Complete step by step answer:
The given expression is
\[7t = x\]
In the given expression we need to find the value of t, so divide both sides of the equation by 7 as
\[\dfrac{{7t}}{7} = \dfrac{x}{7}\]
The obtained expression consists of common terms, hence by simplifying the terms we get
\[t = \dfrac{x}{7}\]
Therefore, the expression of t in terms of \[x\]is \[t = \dfrac{x}{7}\]
Additional information: We have 4 ways of solving one-step equations: Adding, Subtracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.
The following points provide a good method to use when solving linear equations.
Simplify each side of the equation by removing parentheses and combining like terms. Use addition or subtraction to isolate the variable term on one side of the equation. Use multiplication or division to solve for the variable.
Note: The key point to find the value of variable asked is Isolate t on one side of the algebraic equation by subtracting the sum that appears on the same side of the expression as the t and that equals sign verifies the condition that the inherent value on the left is the same as the inherent value on the right. So, what you do to one side you also have to do to the right. Otherwise, one side is not the same value as the other.
Complete step by step answer:
The given expression is
\[7t = x\]
In the given expression we need to find the value of t, so divide both sides of the equation by 7 as
\[\dfrac{{7t}}{7} = \dfrac{x}{7}\]
The obtained expression consists of common terms, hence by simplifying the terms we get
\[t = \dfrac{x}{7}\]
Therefore, the expression of t in terms of \[x\]is \[t = \dfrac{x}{7}\]
Additional information: We have 4 ways of solving one-step equations: Adding, Subtracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.
The following points provide a good method to use when solving linear equations.
Simplify each side of the equation by removing parentheses and combining like terms. Use addition or subtraction to isolate the variable term on one side of the equation. Use multiplication or division to solve for the variable.
Note: The key point to find the value of variable asked is Isolate t on one side of the algebraic equation by subtracting the sum that appears on the same side of the expression as the t and that equals sign verifies the condition that the inherent value on the left is the same as the inherent value on the right. So, what you do to one side you also have to do to the right. Otherwise, one side is not the same value as the other.
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