Solving a System of Linear Equations
Consider the system of linear equations
2y = x + 10
3y = 3x + 15
Which statements about the system are true? Check all
that apply
-The system has one solution.
-The system graphs parallel lines.
-Both lines have the same slope.
-Both lines have the same y-intercept.
-The equations graph the same line.
-The solution is the intersection of the 2 lines.

is means division by fractions

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.