All categories

3 years ago

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

Mathematics

1 answer:

Lisa [10]3 years ago

4 0

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

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:

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

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

shelves.

This is simple division:

Mr. Gengel needs shelves that are

feet long and has an

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

13.5

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

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