All categories

3 years ago

Can someone help me with this? giving brainliest to correct answer!

Mathematics

1 answer:

Reika [66]3 years ago

4 0

Answer:

see explanation

Step-by-step explanation:

(a)

x + y = 15 → (1)

(b)

xy - yx = 27 ( take into account the place value of the digits )

10x + y - (10y + x) = 27

10x + y - 10y - x = 27

9x - 9y = 27 → (2)

(c)

Multiply (1) by 9

9x + 9y = 135 → (3)

Add (2) and (3) term by term to eliminate y

18x = 162 ( divide both sides by 18 )

x = 9

Substitute x = 9 into (1)

9 + y = 15 ( subtract 9 from both sides )

y = 6

Thus the original number = (9 × 10) + 6 = 90 + 6 = 96

You might be interested in

The product of the roots of x² + 6x - 55 = 0 is:

Irina18 [472]

Roots are: -11, 5.
Product of them: (-11)*(5) = -55.

8 0

4 years ago

Read 2 more answers

4(x – 5) +2x = -14 So x=?

Nikolay [14]

Answer:

x=1

Step-by-step explanation:

Step 1:Simplify both sides of the equation

4(x-5)+2x=-14

(4)(x)+(4)(-5)+2x=-14

4x+-120+2x=-14

4x+2x+-20-14

6x+-20=-14

6x-20=-14

Step 2: Add 20 to both sides

6x-20+20=-14+20

6x=6

Step 3: Divide both sides by 6

6x/6=6/6

x=1

4 0

3 years ago

This year the winner of the New York marathon Grand the 8, Trenton 24 minutes what is the runners unit rate

Simora [160]

speed = distance/time

speed = 8/24 = 1/3 km per minute

4 0

4 years ago

3a + 4a + 9 + 5 4a-1=9

Vesna [10]

Answer:

$\displaystyle 31\frac{1}{2}$

Step-by-step explanation:

9 = −1 + 4a

+ 1 + 1

_________

$\displaystyle \frac{10}{4} = \frac{4a}{4} \\ \\ 2\frac{1}{2} = a \\ \\ \\ 3[2\frac{1}{2}] + 4[2\frac{1}{2}] + 9 + 5 = 7\frac{1}{2} + 10 + 9 + 5 = 31\frac{1}{2}$

I am joyous to assist you anytime.

4 0

3 years ago

What is the perimeter of the polygon? 12 cm 4 cm 5 cm 5 cm 6 cm

LekaFEV [45]

Answer:

32 cm

Step-by-step explanation:

Add 12+5+5+4+6 to get the perimeter.

6 0

4 years ago

Read 2 more answers