Solve the System of Equations using Substitution or Elimination. State your final answer as an ordered pair (x, y) *
-3x + 10y = -15
5x - 7y = -4

(- 5, - 3 )

Step-by-step explanation:

Given the 2 equations

- 3x + 10y = - 15 → (1)

5x - 7y = - 4 → (2)

Multiplying (1) by 5 and (2) by 3 and adding the result, eliminates the x- term.

- 15x + 50y = - 75 → (3)

15x - 21y = - 12 → (4)

Add (3) and (4) term by term to eliminate x, that is

29y = - 87 ( divide both sides by 29 )

y = - 3

Substitute y = - 3 into either of the 2 equations and solve for x

Substituting into (1)

- 3x + 10(- 3) = - 15

- 3x - 30 = - 15 ( add 30 to both sides )

- 3x = 15 ( divide both sides by - 3 )

x = - 5

solution is (- 5, - 3 )

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.