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What Steps Should You Follow When Substituting to Check Linear Equations?

Checking your answers for linear equations is super important, and it doesn’t have to be hard! I’ve found that following some easy steps can help. Here’s how I do it:

  1. Solve the Equation: First, you need to find the value of the variable in your equation. For example, if you solve 2x+3=112x + 3 = 11 and find that x=4x = 4, you can move on to the next step.

  2. Substitute Back: Now, take the solution you found—x=4x = 4—and plug it back into the original equation. So, you would replace xx in 2x+3=112x + 3 = 11.

  3. Do the Math: Next, calculate the left side of the equation using your solution. With x=4x = 4, it looks like this:

    2(4)+3=8+3=11.2(4) + 3 = 8 + 3 = 11.

    This matches the right side of the equation.

  4. Check Both Sides: Now, compare the result from your calculation (which is 11) to the original equation's right side (also 11). If they’re the same, then you’ve got the correct answer!

  5. Double-Check if Needed: If the sides don’t match, go back and look through your steps. Check your math again or see if you made a mistake when solving the equation.

That’s all there is to it! With a bit of practice, these steps can help you catch errors before you move on to the next problem. Happy solving!

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What Steps Should You Follow When Substituting to Check Linear Equations?

Checking your answers for linear equations is super important, and it doesn’t have to be hard! I’ve found that following some easy steps can help. Here’s how I do it:

  1. Solve the Equation: First, you need to find the value of the variable in your equation. For example, if you solve 2x+3=112x + 3 = 11 and find that x=4x = 4, you can move on to the next step.

  2. Substitute Back: Now, take the solution you found—x=4x = 4—and plug it back into the original equation. So, you would replace xx in 2x+3=112x + 3 = 11.

  3. Do the Math: Next, calculate the left side of the equation using your solution. With x=4x = 4, it looks like this:

    2(4)+3=8+3=11.2(4) + 3 = 8 + 3 = 11.

    This matches the right side of the equation.

  4. Check Both Sides: Now, compare the result from your calculation (which is 11) to the original equation's right side (also 11). If they’re the same, then you’ve got the correct answer!

  5. Double-Check if Needed: If the sides don’t match, go back and look through your steps. Check your math again or see if you made a mistake when solving the equation.

That’s all there is to it! With a bit of practice, these steps can help you catch errors before you move on to the next problem. Happy solving!

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