A bag is filled with green and blue marbles. There are 41 marbles in the bag. If there are 15 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag. Find the solution by setting up an equation. You have two choices for how you will pick your variable. For each of the following variable choices, write an equation (just set up the equation, do not solve it yet) that describes the relationship between the number of green marbles, the number of blue marbles, and the total number of marbles in the bag:

there will be 26 blue marbles

Step-by-step explanation:

41-15=26

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