Ernesto tried to determine the solution for the system of equations using substitution. his work is shown below.

x – y = 7

3x – 2y = 8

step 1: x = y + 7
step 2: 3(y + 7) – 2y = 8
step 3: 3y + 7 – 2y = 8
step 4: y + 7 = 8
step 5: y = 1

in which step did ernesto make the first error?

step 1
step 2
step 3
step 4

At the beginning of 1974/75,2 years a man invested #2000 in a bank at 12.5% compound interest, if it degree #650 at the end of each two years to pay his son's school fees, after payment of interest to pay his son's school fees, how much did he have left at the beginning of the 1978/79 school year?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Which value of m will create a system of parallel lines with no solution? y= mx - 6 8x - 4y = 12