1) Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
(Two students in the same Spanish class, Baldwin and Reba, plan to get together after
school to make vocabulary flashcards. Baldwin started on the project yesterday and has
already made 10 flashcards. Reba hasn't started yet. Since Baldwin makes 4 flashcards per
minute and Reba makes 6 flashcards per minute, Reba will soon have the same number of
flashcards. How long will that take? How many flashcards will each student have at that
point?
() in
minutes, each student will have
flashcards.

there will be 35 boys in each team. : )

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .