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Lisa [10]
3 years ago
13

Can someone please help me solve this?

Mathematics
1 answer:
Akimi4 [234]3 years ago
4 0
A. This is the original equation: 2x + 3 - 1 = x + 5

b. 2x + 2 = x + 5 ← combined like terms on left side 
    2x + 2 - 2 = x + 5 - 2 ← used inverse operation to collect constants on right side
    2x = x + 3 ←simplified each side
    2x - x = x - x + 3 ←used inverse operation to collect variable terms on left side
    x = 3 ← simplified each side 
answer x = 3

c. 2(3) + 3 - 1 = 3 + 5
     6 + 3 - 1 = 8
       9  - 1 = 8
        8 = 8 
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What is the value of $x$ if $-\frac23(x-5) = \frac32(x+1)$?
Ipatiy [6.2K]

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

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4 years ago
How do you find a angel when you know the sides?
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Answer:

Lets say its a right angle : we know that it is 90 degrees

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3 years ago
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