Mathematics, 25.07.2019 09:00 pokry3814

20 points.. what does it mean for an equation to have no solution or infinite solutions? identify the equation with one solution, infinite solutions and no solutions: (you don’t need to come up with an exact • 6y+2=3y+4 4x + 4y + 8 = x + y + 2 5x – 3 = 5x - 2

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Hello!

If a problem has infinite solutions you will end with a 0, with one it will end with any number and for no solutions you will get a equations that does not equal each other

Ex: 5 = 9

You can do the bottom first since it looks the easiest.

5x - 3 = 5x - 2

subtract 5x from both sides

0x -3 = -2

Add 3 to both sides

0x = 1

0x $\neq 1$

So it has no solutions

Next you can do the top one

6y + 2 = 3y + 4

subtract 3y from both sides

3y + 2 = 4

Subtract 2 from both sides

3y = 2

Divide both sides by 3

y = $\frac{2}{3}$

Since this came to a regular number it has one solution

The only one left has the be the one with infinite solutions by we can check

4x + 4y + 8 = x + y + 2

since the left side is the same as the right just multiplied by 4 it has infinite solutions

So the first one has one solution

The second one has infinite solutions

And the third one has no solutions

Hope this helps!

Answer from: Lewis5442

6y+2=3y+4 can be re-written as 3y = 2, so that y = 2/3. This equation has a solution, only one, unique solution.

4x + 4y + 8 = x + y + 2 could be re-written as

4(x+y) + 6 = 1(x+y), which could be simplified to 3(x+y) = -6, or x+y= -2
Here we have ONLY ONE equation in TWO unknowns. For any value of x we choose, there will be one corresponding value of y. This is a linear equation, and written in the usual form is y = -x -2.

5x – 3 = 5x - 2 could be simplified by subtr. 5x from both sides: -3 = -2. Obviously this is false, and so the equation 5x – 3 = 5x - 2 has no solution.

Answer from: Quest

answer: i think the answer is etheir c or d but i don't know which one but have a good day!

step-by-step explanation:

Answer from: Quest

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

$a=9\times 12=108\text {ft^2}$

so the area of the floor is 108 square feet, converting that into square yards we get,

$108 \times 0.1111= 12 \text{yd^2}$

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

$\$15 \times 12=\$180$

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

$a = 12 \times 15=180\text {ft}^2$

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

$180 \times 0.111=20 \text {yd}^2$

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

$\$15 \times 20= \$300$

so, it will cost $300.

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20 points.. what does it mean for an equation to have no solution or infinite solutions? identify...

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