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