1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Musya8 [376]
3 years ago
12

Tyler and Han are trying to solve this system by substitution: x+3y=-5 9x+3y=3 Tyler's first step is to isolate x in the first e

quation to get x=-5-3y. Han's first step is to isolate 3y in the first equation to get 3y=-5-x. Show that both first steps can be used to solve the system and will yield the same solution.
Mathematics
1 answer:
Lelechka [254]3 years ago
3 0

Answer:

Yes, they can both be solved and get the same answer.

Step-by-step explanation:

<u>Tyler's way:</u>

Since Tyler solved first by isolating x, resulting in x=-5-3y, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get x=-5-3(1-3x). Use the distributive property to simplify that and you'll get x=-5-3+9x. That simplified is x=-8+9x. Add 8 on both sides and you'll get 8+x=9x. Subtract x from the both sides and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.

<u>Han's way:</u>

Since Han solved first by isolating 3y, resulting in 3y=-5-x, he can then go and look at the second equation and solve for y there. In the second equation you're going to want to subtract 9x from the right side and left side to then get 3y=3-9x. Now you're going to divide by 3 on both sides to isolate y. You'll get y=1-3x. Now we know what y equals. Plug that back into the first equation and you'll get 3(1-3x)=-5-x. Use the distributive property to simplify that and you'll get 3-9x=-5-x. Add 9x to both sides and you'll get 3=-5+8x. Add 5 to both sides to isolate 8x and you'll get 8=8x. Divide by 8 on both sides and you'll get the final answer: 1=x, or x=1.

You might be interested in
Which would be used to solve this equation? Check all that apply.
worty [1.4K]
B. Multiplying both sides of the equation by 3
3 0
2 years ago
Noah earned v dollars over the summer. Mai earned m dollars, which is 45 dollars more than Noah did.
12345 [234]

Answer:

What is the question?

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Thr value of k if x-1 is a factor of 2x^3 +3 kx^2+2x-1​
dybincka [34]

Answer:

-2/3

Step-by-step explanation:

put 1 in x should be 0

k is -2/3

8 0
3 years ago
What is the following product? 3√2(5√8-7√3)
vovangra [49]

Answer:

3√2(5√8-7√3) = 60 - 21√6

Step-by-step explanation:

We need to find the product of  3√2(5√8-7√3). The distributive property states that: A(B+C) = AB + AC.

Then, by using the distributive propertive we have that:

3√2(5√8-7√3) = 3√2 * 5√8 - 3√2 * 7√3 = 15√8√2 - 21√2√3.

Also, we know that: √A√B = √AB. Using this:

15√8√2 - 21√2√3 = 15√16 - 21√6 = 60 - 21√6.

6 0
2 years ago
Read 2 more answers
What is the value of y?
Len [333]
30 degrees is the measure of y.
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which line has an y-intercept of -2
    5·1 answer
  • A cricketer's average score for 6 innings is 12 runs. what must he score in his next innings to make his average 13?
    13·1 answer
  • Whats 18/3?????????????????????????????????????
    6·2 answers
  • Tom works part-time at a theme park. Last week he worked the following hours but he needs to complete his timesheet in decimals.
    7·2 answers
  • Lin and diego are discussing two expressions x^2 and 2^x
    12·1 answer
  • Lucy wants to buy a basketball that costs $30. She lives in a state that has 10% sales tax. What is the final price she will pay
    9·2 answers
  • SNACKS The dough that will be used to make a crescent roll is shown below. What is the area of the dough? Explain how you found
    10·1 answer
  • Please help thank you ​
    7·1 answer
  • Evaluate each expression using the order of operations 35-14/2+8 to the power of 2
    10·1 answer
  • A bakery sold 27 mocha cupcakes in a day, which was 9% of the total number of
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!