Which ordered pair is a solution of the equation? 2x+4y=6x-y Choose 1 answer: (A) Only (4,5) (B) Only (5,4) (C) Both (4,5) and (5,4) (D) Neither

Simplify Equation: Step 1: First, let's simplify the equation 2x+4y=6x-y by moving all terms involving x to one side and all terms involving y to the other side. Subtract 2x from both sides to get 4y=4x-y. Now add y to both sides to get 4y+y=4x. This simplifies to 5y=4x. Check (4,5): Step 2: Let's determine if the ordered pair (4,5) satisfies the simplified equation 5y=4x. Substituting x=4 and y=5 into the equation yields 5*5=4*4. Simplifying, we get 25=16, which does not equal each other. Thus, (4,5) is not a solution. Check (5,4): Step 3: Now, let's check the second option (5,4). For this option, x=5 and y=4. Substitute x=5 and y=4 into the simplified equation 5y=4x. This gives us 5*4=4*5. Simplifying this, we get 20=20, which is equal. So, the ordered pair (5,4) is a solution of the equation. Final Solution: Step 4: Since only the ordered pair (5,4) is a solution of the equation 2x+4y=6x-y, and (4,5) is not, the correct answer is (B) Only (5,4).

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Which ordered pair is a solution of the equation?

2x+4y=6x-y
Choose 1 answer:
(A) Only
(4,5)
(B) Only
(5,4)
(C) Both
(4,5) and
(5,4)
(D) Neither

Which ordered pair is a solution of the equation? $\newline$ $2 x+4 y=6 x-y$ $\newline$ Choose $1$ answer: $\newline$ (A) Only $(4,5)$ $\newline$ (B) Only $(5,4)$ $\newline$ (C) Both $(4,5)$ and $(5,4)$ $\newline$ (D) Neither

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Algebra 1

Does (x, y) satisfy the linear equation?

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

\newline

2 x+4 y=6 x-y

\newline

Choose

1

answer:

\newline

(A) Only

(4,5)

\newline

(B) Only

(5,4)

\newline

(4,5)

and

(5,4)

\newline

(D) Neither

Simplify Equation: Step $1$ : First, let's simplify the equation $2x+4y=6x-y$ by moving all terms involving $x$ to one side and all terms involving $y$ to the other side. Subtract $2x$ from both sides to get $4y=4x-y$ . Now add $y$ to both sides to get $4y+y=4x$ . This simplifies to $5y=4x$ .
Check $(4,5):$ Step $2$ : Let's determine if the ordered pair $(4,5)$ satisfies the simplified equation $5y=4x$ . Substituting $x=4$ and $y=5$ into the equation yields $5\times 5=4\times 4$ . Simplifying, we get $25=16$ , which does not equal each other. Thus, $(4,5)$ is not a solution.
Check $(5,4)$ : Step $3$ : Now, let's check the second option $(5,4)$ . For this option, $x=5$ and $y=4$ . Substitute $x=5$ and $y=4$ into the simplified equation $5y=4x$ . This gives us $5\times 4=4\times 5$ . Simplifying this, we get $20=20$ , which is equal. So, the ordered pair $(5,4)$ is a solution of the equation.
Final Solution: Step $4$ : Since only the ordered pair $(5,4)$ is a solution of the equation $2x+4y=6x-y$ , and $(4,5)$ is not, the correct answer is (B) Only $(5,4)$ .