Michael went to the grocery store and bought bottles of soda and bottles of juice.

Each bottle of soda has 40 grams of sugar and each bottle of juice has 20 grams of

sugar. Michael purchased a total of 11 bottles of juice and soda which collectively

contain 300 grams of sugar. Write a system of equations that could be used to

determine the number of bottles of soda purchased and the number of bottles of juice

purchased. Define the variables that you use to write the system.

y

=

System of Equations:

the answer is a

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

1.3 million hoops i believe