15.11.2022

Solve the equation 3y/2 - 4 > 4/5 + 7y/10.

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Step-by-step answer

09.07.2023, solved by verified expert
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y > 6

Step-by-step explanation:

3 x Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 - 4 > Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 + 7 x Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49

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Subtract 7 Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 from both sides

3 x Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 - 4 - 7 x Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 - 7 x Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 (simplify) -> Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 - 4 > Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49

Add 4 to both sides

Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 - 4 + 4 > Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 + 4 (simplify) -> Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 > Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49

Mulitply both sides by 5

Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 > Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 (simplify) -> 4y >24

Divide both sides by 4

Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 > Solve the equation 3y/2 - 4 4/5 + 7y/10., №18010187, 15.11.2022 10:49 (simplify) -> y > 6

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Mathematics
Step-by-step answer
P Answered by Specialist

y > 6

Step-by-step explanation:

3 x \frac{y}{2} - 4 > \frac{4}{5} + 7 x \frac{y}{10}

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Subtract 7 \frac{y}{10} from both sides

3 x \frac{y}{2} - 4 - 7 x \frac{y}{10} - 7 x \frac{y}{10} (simplify) -> \frac{4y}{5} - 4 > \frac{4}{5}

Add 4 to both sides

\frac{4y}{5} - 4 + 4 > \frac{4}{5} + 4 (simplify) -> \frac{4y}{5} > \frac{24}{5}

Mulitply both sides by 5

\frac{5x4y}{5} > \frac{24 x 5}{5} (simplify) -> 4y >24

Divide both sides by 4

\frac{4y}{4} > \frac{24}{4} (simplify) -> y > 6

Mathematics
Step-by-step answer
P Answered by PhD

Hi There!

-2x-5y- 6x+4y (−8x − y)

-5a-3b+8a-b (3a − 4b)

7x^3+ 4y^2-9x^3-3y^2 (−2x^3 + y^2)

16x^4-19x^4-8y^3-7x^4 (−10x^4 − 8y^3)

(-4x^2+3y-8)+(-5y-2x^2+1) (−6x^2 − 2y − 7)

(-3a^3+ 7b ^2)-(-6a^3+9b^2) (3a^3 − 2b^2)

(5-p^2-4q)-(-2-q-3p^2) (2p^2 − 3q + 7)

-3(4h^5-k^4)=(5k^5+2k^4) (Can't Simplify)

-(9w^3-2z+3)+4(3w^3-z) (3w^3 − 2z − 3)

-6(w^3-3z+4)-2(7z-5w^3) (4w^3 + 4z − 24)

Hope This Helps :)

Mathematics
Step-by-step answer
P Answered by PhD

Hi There!

-2x-5y- 6x+4y (−8x − y)

-5a-3b+8a-b (3a − 4b)

7x^3+ 4y^2-9x^3-3y^2 (−2x^3 + y^2)

16x^4-19x^4-8y^3-7x^4 (−10x^4 − 8y^3)

(-4x^2+3y-8)+(-5y-2x^2+1) (−6x^2 − 2y − 7)

(-3a^3+ 7b ^2)-(-6a^3+9b^2) (3a^3 − 2b^2)

(5-p^2-4q)-(-2-q-3p^2) (2p^2 − 3q + 7)

-3(4h^5-k^4)=(5k^5+2k^4) (Can't Simplify)

-(9w^3-2z+3)+4(3w^3-z) (3w^3 − 2z − 3)

-6(w^3-3z+4)-2(7z-5w^3) (4w^3 + 4z − 24)

Hope This Helps :)

Mathematics
Step-by-step answer
P Answered by Master
The ones that simplify to x=x or c=c where c is a constant
as soon as you have
ax+b=c where a, b, and c are constants (and b≠0 and a≠0), then there is one solution

A. -4.4+3y=4.3-3y
-4.4+6y=4.3
this has one solution

B. -1/3y+2.5=1.2
this has 1 solution

C.
6.3+2y=6.3+2y
2y=2y
y=y
infinite solutions

D. 4/10y=2.3+15/10y
 -11/10y=2.3
1 solution

C is the answer
 
Mathematics
Step-by-step answer
P Answered by Master
The ones that simplify to x=x or c=c where c is a constant
as soon as you have
ax+b=c where a, b, and c are constants (and b≠0 and a≠0), then there is one solution

A. -4.4+3y=4.3-3y
-4.4+6y=4.3
this has one solution

B. -1/3y+2.5=1.2
this has 1 solution

C.
6.3+2y=6.3+2y
2y=2y
y=y
infinite solutions

D. 4/10y=2.3+15/10y
 -11/10y=2.3
1 solution

C is the answer
 
Mathematics
Step-by-step answer
P Answered by PhD

C

Step-by-step explanation:

When an equation has infinitely many solutions, what we have on the right is also what we have on the left side of the equation

Let’s take a look at the third equation;

5.1 + 2y + 1.2 = -2 + 2y + 8.3

5.1 + 1.2 + 2y = 2y + 8.3-2

6.3 + 2y = 2y + 6.3

This equation has infinitely many solutions

Mathematics
Step-by-step answer
P Answered by PhD

C

Step-by-step explanation:

When an equation has infinitely many solutions, what we have on the right is also what we have on the left side of the equation

Let’s take a look at the third equation;

5.1 + 2y + 1.2 = -2 + 2y + 8.3

5.1 + 1.2 + 2y = 2y + 8.3-2

6.3 + 2y = 2y + 6.3

This equation has infinitely many solutions

Mathematics
Step-by-step answer
P Answered by Master
The equation C. Has no answers. Found out this by using an app called Symbolab. I suggest you download it as it is really helpfull
Mathematics
Step-by-step answer
P Answered by PhD

Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x

Step-by-step explanation:

Let us go through each of the equations one by one.

Equation A: 2.3y+2+3.1y=4.3y+1.6+1.1y+0.4

This simplifies to

5.4y+2=5.4y+2

which has infinitely many solutions.

Equation B: 32x+25-21x=10x

this simplifies to

x+25=0

x=-25

which is exactly one solution.

Equation C: \frac{5}{8} x+2.5=\frac{3}{8}x+1.5+\frac{1}{4} x

this simplifies to

\frac{5}{8} x+2.5=\frac{5}{8} +1.5

2.5=1.5

There's no way this is going to be possible; this equation has no solutions.

Equation D: \frac{1}{3} x+\frac{1}{7} x=\frac{3}{7} x

this gives

\frac{1}{3} =\frac{2}{7} y

y=\frac{7}{6}

which is exactly one solution.

Thus we see that it is equation C that has no solutions.

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