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3 years ago

Solve each equation. Check your solution. –3b + 7 = –15 + 2b

Mathematics

2 answers:

Gnoma [55]3 years ago

6 0

Exact form: b= 22/5

Decimal form: b= 4.4

Mixed number form: b= 4 2/5

aliya0001 [1]3 years ago

6 0

Answer:

Solution:

$b = \frac{22}{5?}$

Step-by-step explanation:

Rearrange terms:

$- 3b + 7 = - 15 + 2b$

$- 3b + 7 = 2b - 15$

subtract 7 from both sides of the equation:

$- 3b + 7 = 2b - 15$

simplify:

subtract the numbers

⬇️

$- 3b = 2b - 22$

subtract ⬇️ from both sides of the equation

$2b$

$- 3b = 2b - 22$

$- 3b - 2b = 2b - 22 - 2b$

simplify:

⬇️combine like terms

$- 5b = - 22$

divide both sides of the equation by the same term:

$- 5b = - 22$

$\frac{ - 5b}{ - 5?} = \frac{ - 22}{ - 5?}$

simplify:

⬇️cancel terms that are in both the numerator and the denominator

⬇️divide the numbers

$b = \frac{22}{?5}$

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This question is incomplete, the complete question is;

Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (3, 1, 2) and is parallel to the line given by x = y = z.

Answer:

the set of parametric equations of the line with the given characteristics are; x = t+3, y = t+1, z = t+2

Step-by-step explanation:

Given that;

line x = y = z and point ( 3, 1, 2 )

the given line can be written as;

[x-0 / 1] = [y-0 / 1] = [z-0 / 1]

if two lines are parallel directional ratios are equal.

so DIRECTIONAL RATIOS of given line is ( 1, 1, 1 )

therefore required line is;

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Answer:

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