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
WARRIOR [948]
3 years ago
7

X-2y=8 4x+y=5 Solve linear systems by Multiplying

Mathematics
1 answer:
Lisa [10]3 years ago
4 0
<h2> x = 2 and y = - 3</h2>

Step-by-step explanation:

The given system of linear equations:

x - 2y = 8                        ........ (1)

and 4x + y = 5               ........ (2)

To find, the values of x and y = ?

Multiplying equation (2) by 2, we get

2(4x + y) = 5 × 2  

⇒ 8x + 2y = 10                ........ (3)

Adding equations (1) and (3), we get

x - 2y + (8x + 2y) = 8  + 10  

⇒ x - 2y + 8x + 2y = 8  + 10

⇒ 9x = 18

⇒ x = 2

Put x = 2 in (1), we get

2 - 2y = 8        

⇒ 2y =2 - 8

⇒ 2y = - 6

⇒ y = - 3

∴  x = 2 and y = - 3

You might be interested in
Find the actual sum of 1 3/4 + 1 5/8 to determine how much David grew in two years. Explain how you know your answer is reasonab
svetoff [14.1K]

Answer:

3\frac{3}{8}

Step-by-step explanation:

Find the sum

1\frac{3}{4} +1\frac{5}{8}

we know that

\frac{3}{4}=\frac{6}{8}

substitute

1\frac{6}{8} +1\frac{5}{8}

step 1

Separate the mixed number into a whole number and a fraction number

1+\frac{6}{8} +1+\frac{5}{8}

step 2

Group the whole numbers an the fraction numbers

(1+1)+(\frac{6}{8} +\frac{5}{8})

step 3

Combine like terms

(2)+(\frac{11}{8})

Remember that

\frac{11}{8}=\frac{8}{8}+\frac{3}{8}=1+\frac{3}{8}

substitute

2+1+\frac{3}{8}

3+\frac{3}{8}=3\frac{3}{8}

The answer is reasonable

Because

I know that 1 3/4 < 2 and 1 5/8 < 2

so

The sum of both numbers must be less than 4

6 0
3 years ago
F(x) = x² + 3x, g(x) = 5x + 2, (f - g)(3) = ?
ad-work [718]

Answer:

1

Step-by-step explanation:

f(x) = x² + 3x

g(x) = 5x + 2

f(3) = 3² + 3 x 3

f(3) = 9 + 9

f(3) = 18

g(3) = 5(3) + 2

g(3) = 15 + 2

g(3) = 17

(f - g)(3) = 18 - 17

(f - g)(3) = 1.

6 0
2 years ago
What is the answer to -28 + 38
anzhelika [568]

What if I wrote          +  38 - 28  .

Would you be able to solve it that way ?

They're both the same number.

6 0
3 years ago
A building project calls for 1 1/2 foot boards. How many can be cut from a 12 foot long board.
Nana76 [90]

Answer: 13

Step-by-step explanation:

Well actually

13

and a half, but we are assuming he needs full pieces, so

13

shelves.

This is simple division:

Mr. Gengel needs shelves that are

1

1

3

feet long and has an

18

foot long board. In order to determine how many shelves he can make you must divide:

18

÷

1

1

3

=

13.5

You can't have half a shelf so you round down to

1

5 0
3 years ago
Part A: What is the measure of angle x? Show your work(5 points) Part B: Explain how you found the measure of angle x by identif
nasty-shy [4]

Step-by-step explanation:

i think this is the answer.

3 0
3 years ago
Other questions:
  • ANSWER ASAP PLEASE!! (Please show your work)
    14·1 answer
  • What is this I am so dumb
    13·2 answers
  • Determine the margin of error in estimating the population mean, μ . A sample of 74 college students yields a mean annual income
    12·1 answer
  • What is differential drive steering method?
    7·1 answer
  • Which of the following functions is graphed below?​
    5·1 answer
  • A cell phone company charges $40 per month plus a $35 activation fee.Write an expression for the total cost for m months.​
    12·1 answer
  • Will give brainliest.
    7·1 answer
  • Find the difference in slopes. Can anyone help me with this? I need it, its a grade for my mah class.
    14·2 answers
  • Evaluate f^3+11g-4h when f= 3, g=2 and h=7
    11·1 answer
  • The circle graph shows the rooms in a house and their percentages of the house's total area.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!