x+y=1
y-z=-3
2x+3y+z=1

i KNOW THE ANSWERS I JUST DON'T KNOW HOW THE BOOK GOT THE ANSWERS . i 'VE TRIED MANY DIFFERENT WAYS AND I STILL DONT' UNDERSTAND IT PLEASE EXPLAIN IT.

i KNOW THAT I HAVE TO ADD EQUATION 2 AND THREE TO GET THE FOLLOWING

2X+3Y+Z=1
Y-Z=-3
IN ORDER TO GET
2X+4Y=-2

THEN I DON'T KNOW FROM HERE

There a couple ways to solve this. You have
x+y = 1
y-z =-3
2x+3y+z= 1

You could first show
x=1-y and z=y+3 and substitute them into the 3rd equation to get
2(1-y)+3y+y+3=1 and solve for y to get
2-2y+3y+y+3=1
5+2y=1 so 2y=-4 and y=-2
then put this into the first two equations to solve for x and z.

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2. 👎
3. 👁

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The text passage contains a system of linear equations and a request for help in solving them. The user is asking for the values of the variables x, y, and z.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
x+y=1
y-z=-3
2x+3y+z=1

i KNOW THE ANSWERS I JUST DON'T KNOW HOW THE BOOK GOT THE ANSWERS . i 'VE TRIED MANY DIFFERENT WAYS AND I STILL DONT' UNDERSTAND IT PLEASE EXPLAIN IT.

i KNOW THAT I HAVE TO ADD EQUATION 2 AND THREE TO GET THE FOLLOWING

2X+3Y+Z=1
Y-Z=-3
IN ORDER TO GET
2X+4Y=-2

THEN I DON'T KNOW FROM HERE

There a couple ways to solve this. You have
x+y = 1
y-z =-3
2x+3y+z= 1

You could first show
x=1-y and z=y+3 and substitute them into the 3rd equation to get
2(1-y)+3y+y+3=1 and solve for y to get
2-2y+3y+y+3=1
5+2y=1 so 2y=-4 and y=-2
then put this into the first two equations to solve for x and z.

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### Math (Stats)

In order to predict y-values using the equation of a regression line, what must be true about the correlation coefficient of the variables? A. The correlation between variables must be an x-value of a point on the graph. B. The

Determine the standard form of a quadratic function whose graph has a y intercept of 8 and a vertex at (-2,-4). The answer is f(x)= 3x^2 + 12x +8 but I can't figure out how to get the answer. Solve x^2 + x=6, by factoring. The

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Interest is a concept familiar to most people: every credit card in existence has a term called annual percentage rate (APR), which is an interest rate. Suppose you charged \$1,000 to a credit card that has a minimum payment each

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user
The text passage contains a system of linear equations and a request for help in solving them. The user is asking for the values of the variables x, y, and z.

TYPE: SINGLE_QUESTION_WITH_ANSWER