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Lana71 [14]
3 years ago
12

Solve for a: 5(a+5)-3=3(2-a)

Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0

Simplify:

5(a + 5) + -3 = 3(2 + -1a)

Reorder the terms:

5(5 + a) + -3 = 3(2 + -1a)

(5 * 5 + a * 5) + -3 = 3(2 + -1a)

(25 + 5a) + -3 = 3(2 + -1a)

Reorder the terms again:

25 + -3 + 5a = 3(2 + -1a)

Combine like terms:

]25 + -3 = 22

22 + 5a = 3(2 + -1a)

22 + 5a = (2 * 3 + -1a * 3)

22 + 5a = (6 + -3a)

Solve:

22 + 5a = 6 + -3a

To solve for variable 'a':

You have to move all terms containing A to the left, all other terms to the right.

Then add '3a' to each side of the equation:

22 + 5a + 3a = 6 + -3a + 3a

Combine like terms:

5a + 3a = 8a

22 + 8a = 6 + -3a + 3a

Combine like terms again:

-3a + 3a = 0

22 + 8a = 6 + 0

22 + 8a = 6

Add '-22' to each side of the equation.:

22 + -22 + 8a = 6 + -22

Combine like terms:

22 + -22 = 0

0 + 8a = 6 + -22

8a = 6 + -22

Combine like terms once more:

6 + -22 = -16

8a = -16

Divide each side by '8'.

a = -2

Simplify:

a = -2

Answer: a=-2

Hope I could help! :)

Artyom0805 [142]3 years ago
6 0

first you do distributive property which includes

5a+25-3=6-3a

then combine like terms which is subtracting 3 from 25

5a+22=6-3a, then combine like terms by subtracting 3a from 3a and 5a

which would be 2a+22=6 then combine constants by subtracting 22 from 22 and 6 which would equal 2a =-22 answer is -11

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7 0
3 years ago
F(x) = x^2 +2x-16/X-2
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Answer:

\frac{x^3+2x^2-16-2x}{x}

Step-by-step explanation:

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3 0
3 years ago
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of ea
koban [17]

Answer:

slope(m)=5/4 and

y-intercept (c)=12

Step-by-step explanation:

here,given equation of a line is

5x-4y-1=0...eqn(i)

equation of any line parallel to line(i) is

5x-4y+k=0...eqn(ii)

since,the line(ii) passes through (-8,2)[replacing x=-8 and y=2 in eqn(ii), we get]

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substituting the value of k=48 in eqn(ii),

5x-4y+48=0 is the required equation of the line.

now,

changing eqn(ii) in slope intercept form we get,

4y=5x+48

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comparing it into y=mx+c we get,

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6 0
3 years ago
What is the length of each side of a square that has the same area as a rectangle that is 14 mm long and 16 mm wide? Round to th
swat32
1. You have the following information:

 - <span> The square has the same area as a rectangle.
 - The dimensions of the rectangle are: 14 mm long and 16 mm wide.

 2. You must use the formula for calculate the area of a square, which is shown below:

 A=S</span>²

 "A" is the area of the square.<span>
 "S" is the lenght of the side of the square. (It is important to remember that the sides of a squre have equals lenghts.

 3. The square and the rectangle have the same area. Therefore:

 Arectangle=(14 mm)(16 mm)
 Arectangle=224 mm</span>²
<span>
 A=224 mm</span>²
<span>
 4. Now, you must substitute the value A=224 mm</span>² into the formula A=S² and clear "S":
<span>
 A=S</span>²
<span> S=</span>√A
<span> S=</span>√(224 mm²)
<span> S=15 mm

 The answer is: 15 mm

 </span>
7 0
3 years ago
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