2) at west high school, 362 students take spanish. this number has been
increasing at a rate of 20 per year. the number of students taking french is
259 and has been decreasing at a rate of about 3 per year. at these rates,
when will there be two times as many students taking spanish as taking
french?

i need finding the steps to solve this problem. i don't want the answer only the steps! you

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal

a is the best answer choice