Determine whether the given value is a solution of the equation. Show your work. 21 = x − 5; x = 16

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Question 21 pts
Determine whether the given value is a solution of the equation.

14 + x = 44; x = 30

30
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a solution of 14 + x = 44.

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Question 31 pts
Determine whether the given value is a solution of the equation.

81 = LaTeX: \frac{k}{9}k 9; k = 9
9
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a solution of 81 = LaTeX: \frac{k}{9}k 9

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Question 41 pts
Complete the explanation that tells how you can determine whether a number is a solution of an equation.
Substitute the
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for the
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and simplify. If the final statement is
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, the number is a solution.

europa2433

europa2433

step-by-step explanation:

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

step-by-step explanation:

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