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
Kay [80]
3 years ago
11

Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e

quations to find the numbers
Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

You might be interested in
Why is it important to reduce radicals
OleMash [197]
Simplifying radical expressions expression is important before addition or subtraction because it you need to which like terms can be added or subtracted. If we hadn't simplified the radical expressions, we would not have come to this solution. In a way, this is similar to what would be done for polynomial expression.
7 0
3 years ago
Help me solve this problem pleaseeeeee
antiseptic1488 [7]

Answer:

y>6

Step-by-step explanation:

Simplify so 5y-2(y)-2(4)>10

3y-8>10

3y>18

y>6

7 0
3 years ago
What are the answers for x, y, and z?
Galina-37 [17]

Answer:

x=-1 y=1 z=-.7?

Step-by-step explanation:

7 0
3 years ago
Find the y-intercept and the slope of the line.<br> 6x-2y=5
solmaris [256]

Answer:

m=3

b=(0,5)

Step-by-step explanation:

6 0
2 years ago
Which triangles can have two sides of the same lenghth
grin007 [14]
The answer is Isosceles triangle
5 0
3 years ago
Other questions:
  • Manila walked 4 miles an hour and arrived home in 30 minutes. Her sister ran 6 miles an hour, how long did it take for her to ge
    14·1 answer
  • Convert 72832 ounces' to tons?
    9·2 answers
  • Solve for Z. <br><br> 3z - 5 = 2z + 2
    5·1 answer
  • If there's $700 in half dollars quarters and silver dollars how many of each are there
    10·1 answer
  • PLEASE answer ASAP....
    7·2 answers
  • How many times does 1 1/4 go into 4 1/8
    14·1 answer
  • In Aunt Melly's attics there are also spiders and ants, the total of 136 legs and 20 heads. If a spider has 8 legs and an ant ha
    10·1 answer
  • Answer please because no one ever does barely
    12·1 answer
  • In a shipment of shirts to a clothing store, 2/5 of the shirts are blue and 3/10 of the shirts are red. ​If there are 20 shirts
    10·1 answer
  • What is the slope of <br>X Y<br> 1 7<br>6 15<br>11 23<br>16 31
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!