Breanna A.

asked • 04/14/22

If we add 4 times the first equation to the second equation, the second equation becomes

x − y + z = 5−

x + 4y + z = −1

3x + y − 2z = 2

Peter R.

tutor
Not sure how to answer as you are showing three equations, not two. Also, is that a (-5) at the end of the 1st equation?
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04/14/22

Mark M.

What is preventing you from multiplying the first equation by 4 and then addiing it to the second? This is basic arithmetic.
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04/14/22

Christie M.

tutor
Hi Breanna! It looks like you will need to break this up into steps. Step 1: Multiply the first equation by 4. Remember, you need to "distribute" the 4 and multiply every term by 4. (I assumed the 5 was negative for this example.) : 4(x-y+z= -5) This gives you: 4x-4y+4z= -20 Step 2: add this answer to the second equation. Remember to only add "like terms" like x and x or y and y. If you line them up on top of each other, you can add straight down, paying attention to plus or minus signs. 4x-4y+4z= -20, x+4y+z= -1, 5x+5z=-21 The y terms will cancel out and become zero. Your answer is: 5x+5z=-21, assuming the 5 in the first equation was supposed to be negative. I hope this helps!
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04/14/22

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