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Kendrick was given the equations 4x+2y=14 and 3x-y=23. He decided to solve the system of equations by substitution. Each step is shown.
Step 1: 4x+2y=14
Step 2: 2y=14-4x
Step 3: y=7-2x
Step 4: 3x-7-2x=23
Step 5: x-7=23
Step 6: x=30
In which step did Kendrick make an error? Explain.


Sagot :

The Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Kendrick was given the equations:

Step 1: 4x+2y=14 ...(1)

3x-y=23 ...(2)

From the equation first:

Step 2:  2y = 14 - 4x

Step 3: y = 7 - 2x  put this value in the second equation

Step 4:  3x - (7 - 2x) = 23

Step 5: 3x -7 +2x = 23

Kendrick did a mistake in step 4 he did not multiply the term (7 - 2x) with -1

Thus, the Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23

Learn more about the linear equation here:

brainly.com/question/11897796

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