Solve the following equation: 6y – 20 = 2y – 4. We share the solution of this equation with you in detail. We recommend that you examine it carefully.
Solve the following equation: 6y – 20 = 2y – 4.
- Answer: => The value of y is 4.
- Step-by-step explanation:
- Given that:-
- To find:- The value of the expression,
- To find the value of x, we must apply the transposition method:
- As we have,
- Now add both sides by , =>
- Simplifying it further, we get =>
- Subtract both sides by , =>
- Now, divide both sides by : =>
- Hence, the required solution is 4.
Second answer to Solve the following equation: 6y – 20 = 2y – 4.
The solution to 6y – 20 = 2y – 4 is y = 4. The four rules that we use to solve linear equations in one variable are as follows:
- We can add or subtract the same number or term on both sides of the equation.
- We can multiply or divide the same non-zero number or term on both sides of the equation.
- We can interchange sides of the equation.
- We can simplify either side of the equation.
Each of the rules here does not change the solution of a single-variable linear equation. As such, they are used to continually rewrite the equation until we take the variable to one side. This process for the equation is as follows:
- 6y – 20 = 2y – 4
- Using rule 1, add 20 to both sides of the equation, and subtract 2y from both sides of the equation.
- 6y – 20 +20 – 2y = 2y – 4 + 20 – 2y
- Using rule 4, simplify both sides of the equation.
- 4y = 16
- Using rule 2, divide both sides of the equation by 4.
- y = 4
We get that the equation y = 4 has the same solution as 6y – 20 = 2y – 4. In other words, the solution to the equation 6y – 20 = 2y – 4 is y = 4.
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