Which ordered pair is a solution of the equation? y-3=5(x-2) Choose 1 answer: (A) Only (2,3) (B) Only (3,2) (C) Both (2,3) and (3,2) (D) Neither

Check Solution (2,3): Step 1: Let's determine if the ordered pair (2,3) satisfies the equation y-3=5(x-2). Substituting x=2 and y=3 into the equation yields 3-3=5(2-2). Simplifying, we get 0=5(0), which simplifies to 0=0. This is true, so (2,3) is a solution of the equation. Check Solution (3,2): Step 2: Now, let's check the second option (3,2). For this option, x=3 and y=2. Substitute x=3 and y=2 into the equation y-3=5(x-2). This gives us 2-3=5(3-2). Simplifying this, we get -1=5(1), which simplifies to -1=5. This is not true, so the ordered pair (3,2) is not a solution of the equation. Final Answer: Step 3: Since the ordered pair (2,3) is a solution and (3,2) is not, the correct answer is Only (2,3).

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Which ordered pair is a solution of the equation?

y-3=5(x-2)
Choose 1 answer:
(A) Only
(2,3)
(B) Only
(3,2)
(C) Both
(2,3) and
(3,2)
(D) Neither

Which ordered pair is a solution of the equation? $\newline$ $y-3=5(x-2)$ $\newline$ Choose $1$ answer: $\newline$ (A) Only $(2,3)$ $\newline$ (B) Only $(3,2)$ $\newline$ (C) Both $(2,3)$ and $(3,2)$ $\newline$ (D) Neither

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Math Problems

Algebra 1

Does (x, y) satisfy the linear equation?

Full solution

Q. Which ordered pair is a solution of the equation?

\newline

y-3=5(x-2)

\newline

Choose

1

answer:

\newline

(A) Only

(2,3)

\newline

(B) Only

(3,2)

\newline

(2,3)

and

(3,2)

\newline

(D) Neither

Check Solution $2,3$ : Step $1$ : Let's determine if the ordered pair $2,3$ satisfies the equation $y-3=5(x-2)$ . Substituting $x=2$ and $y=3$ into the equation yields $3-3=5(2-2)$ . Simplifying, we get $0=5(0)$ , which simplifies to $0=0$ . This is true, so $2,3$ is a solution of the equation.
Check Solution $3,2$ : Step $2$ : Now, let's check the second option $3,2$ . For this option, $x=3$ and $y=2$ . Substitute $x=3$ and $y=2$ into the equation $y-3=5(x-2)$ . This gives us $2-3=5(3-2)$ . Simplifying this, we get \-1=5(1), which simplifies to \-1=5. This is not true, so the ordered pair $3,2$ is not a solution of the equation.
Final Answer: Step $3$ : Since the ordered pair $(2,3)$ is a solution and $(3,2)$ is not, the correct answer is Only $(2,3)$ .