Math

QuestionList the four steps to solve a linear equation from these options: isolate variable, check solution, collect terms, simplify.

Studdy Solution

STEP 1

Assumptions1. We are solving a general linear equation. . We have to find the four steps for solving this equation.
3. The options given are correct and comprehensive.

STEP 2

The first step in solving a general linear equation is to simplify the algebraic expression on each side. This involves performing any operations that can be performed, such as multiplication or division, and combining like terms.
Step1 Simplify the algebraic expression on each side.\text{Step1 Simplify the algebraic expression on each side.}

STEP 3

The second step is to collect all the variable terms on one side and all the numbers, or constant terms, on the other side. This step is necessary to isolate the variable.
Step2 Collect all the variable terms on one side and all the numbers, or constant terms, on the other side.\text{Step2 Collect all the variable terms on one side and all the numbers, or constant terms, on the other side.}

STEP 4

The third step is to isolate the variable and solve. This step involves performing operations to get the variable by itself on one side of the equation.
Step3 Isolate the variable and solve.\text{Step3 Isolate the variable and solve.}

STEP 5

The fourth and final step is to check the proposed solution in the original equation. This step is necessary to ensure that the solution is correct.
Step4 Check the proposed solution in the original equation.\text{Step4 Check the proposed solution in the original equation.}The four steps for solving a general linear equation are1. Simplify the algebraic expression on each side.
2. Collect all the variable terms on one side and all the numbers, or constant terms, on the other side.
3. Isolate the variable and solve.
4. Check the proposed solution in the original equation.

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