Solve the literal equation a + 4b = 5b - 3a for a

1 answer:

6 0

Simplifying
a + 4b = 5b + -3a

Reorder the terms:
a + 4b = -3a + 5b

Solving
a + 4b = -3a + 5b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '3a' to each side of the equation.
a + 3a + 4b = -3a + 3a + 5b

Combine like terms: a + 3a = 4a
4a + 4b = -3a + 3a + 5b

Combine like terms: -3a + 3a = 0
4a + 4b = 0 + 5b
4a + 4b = 5b

Add '-4b' to each side of the equation.
4a + 4b + -4b = 5b + -4b

Combine like terms: 4b + -4b = 0
4a + 0 = 5b + -4b
4a = 5b + -4b

Combine like terms: 5b + -4b = 1b
4a = 1b

Divide each side by '4'.
a = 0.25b

Simplifying
a = 0.25b

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Solve the system of linear equations by substitution. x=2y+7 3x−2y=3

Murljashka [212]

The system of equation
First equation
x = 2y + 7
Second equation
3x - 2y = 3

Substitute x with (2y + 7) in the second equation
3x - 2y = 3
3(2y + 7) - 2y = 3

use distributive property
3(2y) + 3(7) - 2y = 3
6y + 21 - 2y = 3

add like terms
6y - 2y + 21 = 3
4y = 3 - 21
4y = -18
y = -18/4
y = -4.5

Substitute y with its value, which is -4.5, in the first equation
x = 2y + 7
x = 2(-4.5) + 7
x = -9 + 7
x = -2

The solution is
(x,y) = (-2, -4.5)

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4 years ago

Please give me the answer

Charra [1.4K]

Answer:

13.9

Step-by-step explanation:

To find the mean, add the two numbers and divide by two.

(13.9+13.9)/2=13.9

7 0

3 years ago

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