The work of a student to solve a set of equations is shown:Equation A: y = 15 – 2z
Equation B: 2y = 3 – 4z

Step 1: –2(y) = –2(15 – 2z) [Equation A is multiplied by –2.]
2y = 3 – 4z [Equation B]
Step 2: –2y = 15 – 2z [Equation A in Step 1 is simplified.]
2y = 3 – 4z [Equation B]
Step 3: 0 = 18 – 6z [Equations in Step 2 are added.]
Step 4: 6z = 18
Step 5: z = 3
In which step did the student first make an error?

Step1
Step 2
Step 3
Step 4

Answers

Answer 1

Answer: Option: step 2.

Because the student divided only the right side by 2. If you divide one side by a number you have to do the same with the other side to maintain the equality.

Related Questions

73/260 73 is what percent of 260. also 42/220 42 is what percent of 220. please help.
Six students share 8 granola bars equally. How many granola bars does each student get?
If the radius of a circle is 8 ft, what is the length of the diameter? 8 ft 24 ft 4 ft 16 ft
For the rational equation, , what is a valid value of x?
1 7/3 in simplest form

Complete the equation of the line through (-8,8)(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right parenthesis.

Answers

Answer:

$y = -2x - 8\nOR\n2x+y+8=0$

Step-by-step explanation:

Given that there are 2 points

$A(-8,8)$ and

$B(1,-10)$

So, the coordinates are:

$x_2 = 1\nx_1 = -8\ny_2 = -10\ny_1 = 8$

Equation of a line is given as:

$y =mx+c$

where 'm' is the slope of the line, formula for 'm' is given as:

$m=(y_2-y_1)/(x_2-x_1)$

$(x,y)$ are the points that satisfy the equation of the line.

$c$ is the $y -$ intercept.

Calculating the value of m using the given coordinates:

$m=(-10-8)/(1-(-8))\n\Rightarrow m=(-18)/(9) = -2$

So, the equation of line becomes:

$y =-2x+c$

Now, putting the coordinates of point $A(-8,8)$

$8 =-2* (-8)+c\n\Rightarrow 8 = 16+c\n\Rightarrow c = -8$

Please refer to the graph of given equation of line.

The equation of line is:

$y =-2x+-8\nOR\n2x+y+8=0$

Find the product of 8x93 using distributive property. Show the steps and the solution

Answers

Hello there!

Take 3(6+7)

. We can add within the parentheses, and then multiply:

3(6+7)=3(13)=39

Or, you can multiply each addend by the 3

, and then add.

3(6+7)=3(6)+3(7)=18+21=39

Either way, you get the same answer.

Hope this helped!

HyperZ ^_^

Explanation:

Distributive property: → $a(b+c)=ab+ac$

Multiply by the numbers from left to right.

$93*8=744$

Then, you can also divide into the numbers.

$744/8=93$

$744/93=8$

Product it's going to be multiply by the numbers, fractions, factors, and multiples.

Hope this helps!

Thanks!

Have a great day!

What are the values of a, b, and c in the quadratic equation –2x^2 + 4x – 3 = 0?a = 2, b = 4, c = 3

a = 2, b = 4, c = –3

a = –2, b = 4, c = 3

a = –2, b = 4, c = – 3

Answers

If you would like to find the values of a, b, and c in the quadratic equation, you can do this using the following steps:

ax^2 + bx + c = 0
-2x^2 + 4x - 3 = 0
a = -2
b = 4
c = -3

The correct result would be a = –2, b = 4, c = – 3.

Final answer:

The values of a, b, and c in the quadratic equation –2x^2 + 4x – 3 = 0 are: a = -2, b = 4, and c = -3.

Explanation:

The values of a, b, and c in the quadratic equation –2x^2 + 4x – 3 = 0 are:

a = -2

b = 4

c = -3

In a quadratic equation in the form ax^2 + bx + c = 0, the coefficients a, b, and c represent different values. In this equation, -2 is the coefficient of the x^2 term, 4 is the coefficient of the x term, and -3 is the constant term.

Learn more about Quadratic Equations here:

brainly.com/question/30098550

#SPJ12

can someone help me with the 6 questions I'm sorry I know it's hard to see and I will tell you the questions

Answers

1. 9
2. 9
3. ??
4. 12:15
5. Cant see
6. 8

Need help with this question

Answers

the answer with be

hope this helps

MARKING BRAINLIEST!An airline knows that 9 out 50 passengers who book a flight do not show up. If 300 people booked a flight , how many will not show up?

Answers

54 people dont show up

Other Questions

The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate of the population mean. He selects and weighs a random sample of 49 trucks and finds the mean weight is 15.8 tons. The population standard deviation is 3.8 tons. What is the 95% confidence interval for the population mean?

The revenue, in dollars, of a company that produces jeans can be modeled by 2x2 + 17x – 175. The cost, in dollars, of producing the jeans can be modeled by 2x2 – 3x – 125. The number of pairs of jeans that have been sold is represented by x. The profit is the difference between the revenue and the cost, 20x – 50.If 75 pairs of jeans are sold, what is the company’s profit?

You are going to mix a gallon bucket of window cleaner. The instructions direct you to mix 1 part cleaner to 3 parts water. How much cleaning solution will you need to use?*

LaToya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginner's fee of $100 and a monthly fee of $38. If x represents the number of months that LaToya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time:100 + 38x = C LaToya has allocated a maximum of $404 to spend on her gym membership. Which number line shows the possible number of months that LaToya can be a member of the gym?