Erin writes the expression “ $6$ less than double a number.”

Write an algebraic expression that is equivalent to Erin’s expression.
Write a second algebraic expression that is different from, but equivalent to, your first expression.
Respond in the space provided.

For this case we must algebraically rewrite the given expression. So:

x: It is the variable that represents an unknown number

"double a number" is represented as:

"6 less than double a number" is represented as:

So, the final expression is:

If we want to rewrite the expression in an equivalent way, we take common factor 2:

Asnwer:

Equivalent expression:

4 packs of water and 7 packs of candy bars

step-by-step explanation:

35x4=140

140/20=7

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