Which system of equations has the same solution as the system below?

1 answer:

6 0

2x + 2y = 16 ⇒ 2x + 2y = 16
3x - 1y =   4 ⇒ 6x - 2y =   8
8x = 24
  8 8
x = 3
2x + 2y = 16
2(3) + 2y = 16
6 + 2y = 16
- 6   - 6
2y = 10
  2 2
y = 5
(x, y) = (3, 5)
The systems of equations that has the same solution as the system is one common solution.

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when you reverse the digits in a certain two-diget number you increase it value by 27. What is the number if the sum of its digi

Fynjy0 [20]

The number is = 10x+y
if reverse the digits, the number is: 10y+x
The sum fo its digits is = x+y=5
I suggest this system of equations:
(10y+x)-(10x+y)=27 ⇒9y-9x=27
x+y=5
We can solve this system of equations by equaliztion method
x=5-y

9y-9(5-y)=27
9y-45+9y=27
18y=27+45
18y=72
y=72/18
y=4

x=5-y
x=5-4=1

The number is: 10x+y=10(1)+4=14

Answer: the number is 14

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5x and 7x? are like terms<br> True<br> Or False

Serjik [45]

Answer:

True

Step-by-step explanation:

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A cube has volume 216cm find total surface area of cube

Katena32 [7]

Answer:

Answer: 216 cm2 (square centimetres $cm^{2}$ , in your question you had to put cm3, cubic centimetres, it's IMPORTANT )

Step-by-step explanation:

A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).

But let's calculate it anyway:

Volume = Edge * Edge * Edge = length * width * depth = $Edge^{3}$ (remember: all edges are equal in this case)

so Edge = $\sqrt[3]{Volume}$

in your example Edge = $\sqrt[3]{216}$ = 6cm

So the surface of one side is 6*6 = 36 $cm^{2}$

There are 6 sides in total, so the total surface is 6*36 = 216 $cm^{2}$

Note: I call them "edges" but in case of a cube most say just "length"

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Two sides of a triangle measure 10cm and 18cm . Which could be the measure of the third side of the triangle?

ValentinkaMS [17]

It cannot be 30, because the sum of two sides should be more than third side
-not D
10+18=28 <30

it cannot be 6 +10 < 18

it cannot 8
8+10=18

so it is has to be C) 12
12+18>10
10+12>18
10+18>12
answer C. 12 cm

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What is the value for ƒ(x) = 42x - 100 when x = 2 ?

Anton [14]

F(2)=42(2)-100
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