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kykrilka [37]
3 years ago
11

5y + 4(-5 + 3y) = 1 – y solve step by step please

Mathematics
2 answers:
Yuri [45]3 years ago
8 0

Answer:

\boxed {y = \frac{7}{6}}

Step-by-step explanation:

Solve for the value of y:

5y + 4( -5 + 3y) = 1 - y

-Use <u>Distributive Property</u>:

5y + 4( -5 + 3y) = 1 - y

5y - 20 + 12y = 1 - y

-Combine like terms:

5y - 20 + 12y = 1 - y

17y - 20 = 1 - y

-Take -y and add it to 17y:

17y + y - 20 = 1 - y + y

18y - 20 = 1

-Add 20 on both sides:

18y - 20 + 20 = 1 + 20

18y = 21

-Divide both sides by 18:

\frac{18y}{18} = \frac{21}{18}

\boxed {y = \frac{7}{6}}

Therefore, the value of y is \frac{7}{6}.

Studentka2010 [4]3 years ago
3 0
Step by step, meaning explaining the equation right and answer?
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Systems of linear equations iready quiz
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Answer:

<h2>One solution.</h2>

Step-by-step explanation:

The given question is

<em>Does the following system have One Solution, No Solution, or Infinite Solutions.   </em>

<em />y = 4x + 8\\y = -5x + 3<em />

<em />

<em />

To solve this system, we just need to multiply the first equation by -1, and then sum those equations.

-y = -4x - 8\\y = -5x + 3

0=-9x-5\\5=-9x\\x=-\frac{5}{9}

Then, we use this value to find the other one

y=4x+8\\y=4(-\frac{5}{9} )+8\\y=-\frac{20}{9}+8\\y =\frac{-20+72}{9} \\y=\frac{52}{9}

As you can observe, the system of equations have a unique solution.

Therefore, the answer is one solution.

7 0
3 years ago
This is not math but i need help <br><br><br>what is a allusion​
wariber [46]

Answer:

an expression designed to call something to mind without mentioning it explicitly; an indirect or passing reference.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the measure of arc WYZ?<br> ----------<br><br> 231<br><br> 255<br><br> 200<br><br> 168
Nataly_w [17]

9514 1404 393

Answer:

  (a)  231°

Step-by-step explanation:

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7 0
3 years ago
a ball is shot straight upward. with it's height, in feet, after t seconds given by the function f(t)=-16t^2+192t. Find the aver
jekas [21]

ANSWER

80  {ms}^{ - 1}

EXPLANATION

The average velocity of the ball is the rateof displacement over the total time.

The height of the ball, in feet, after t seconds is given by the function:

f(t)=-16t^2+192t

At time t=1, the height of the ball is

f(1)=-16(1)^2+192(1)

f(1)=-16+192 = 176ft

At time t=6, the height of the ball is

f(6)=-16(6)^2+192(6)

f(6)=-16(36)+192(6)

f(6)=-576+1152 = 576

The average velocity

=  \frac{f(6) - f(1)}{6 - 1}

=  \frac{576- 176}{6 - 1}

=  \frac{400}{5}

= 80  {ms}^{ - 1}

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3 years ago
What is the equation of the line that has a slope of 1 and passes through Point (1, 5)​
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The equation of this line would be: y= x +4
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