Solve the system of equations.
14x+5y=31
2x−3y=−29

  (x, y) = (-1, 9)

Step-by-step explanation:

A graphical solution can be quick and easy. It shows the solution to be ...

  (x, y) = (-1, 9)

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Another suitable method is Cramer's rule. It makes use of a particular pattern of sum of products of coefficients and constants. The denominator in each case is the same sum of products.

  x = (5(-29)-(-3)(31))/(5(2)-(-3)(14)) = -52/52 = -1

  y = (31(2)-(-29)(14))/52 = 468/52 = 9

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2