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Decide if the ordered pair (1,0) is a solution to the equation 3x-y=3.
Is (1,0) a solution of 3x-y=3 ?
(A) No
(B) Yes

Decide if the ordered pair $(1,0)$ is a solution to the equation $3 x-y=3$ . $\newline$ Is $(1,0)$ a solution of $3 x-y=3$ ? $\newline$ (A) No $\newline$ (B) Yes

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Introduction to probability

Full solution

Q. Decide if the ordered pair

(1,0)

is a solution to the equation

3 x-y=3

.

\newline

Is

(1,0)

a solution of

3 x-y=3

?

\newline

(A) No

\newline

(B) Yes

Identify given pair & equation: Identify the given ordered pair and the equation. $\newline$ The ordered pair given is $(1,0)$ , and the equation is $3x - y = 3$ .
Substitute values into equation: Substitute the values of the ordered pair into the equation. $\newline$ Substitute $x = 1$ and $y = 0$ into the equation $3x - y = 3$ to check if the ordered pair is a solution. $\newline$ $3(1) - 0 = 3$
Perform calculations: Perform the calculations to see if the equation is satisfied. $3(1) - 0 = 3$ simplifies to $3 - 0 = 3$ , which further simplifies to $3 = 3$ .
Compare with right side: Compare the result with the right side of the equation. $\newline$ Since $3 = 3$ , the left side of the equation is equal to the right side when we substitute the ordered pair $(1,0)$ .
Conclude solution: Conclude whether the ordered pair is a solution to the equation. $\newline$ Because the equation holds true with the substitution of $(1,0)$ , we can conclude that $(1,0)$ is indeed a solution to the equation $3x - y = 3$ .

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