How do you determine whether the ordered pair is a solution of the given equation 6x - 5y = 33; (3, -3)?

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Answer 1 · 2016-05-16T09:50:13

$(3, - 3)$ $(3,-3)$ is a solution to $6 x - 5 y$ $6x-5y$

Given ordered pair $\to (x, y) \to (3, - 3)$ $->(x,y)->(3,-3)$

If you substitute these values and the left hand side =33 then they are a solution.

Consider the left hand side (LHS)

$6 x - 5 y$ $6x-5y$

By substitution we have

$6 x - 5 y \to 6 (3) - 5 (- 3)$ $color(brown)(6x-5y)color(blue)(" "->" "6(3) -5(-3)$

Giving

$18 + 15 = 33$ $18+15=33$

So left hand side = right hand side, so they are a solution