Which ordered pair is a solution of the equation? 6x+3y=15 Choose 1 answer: (A) Only (3,-2) (B) Only (2,2) (c) Both (3,-2) and (2,2) (D) Neither

Check (3, -2): Substitute the x and y values from option (A) into the equation to check if it satisfies the equation. For (3, -2), substitute x = 3 and y = -2 into the equation 6x + 3y = 15. Calculation: 6(3) + 3(-2) = 18 - 6 = 12. Check if the result equals 15.Check (2, 2): Since 12 does not equal 15, (3, -2) is not a solution to the equation.Neither satisfies the equation: Substitute the x and y values from option (B) into the equation to check if it satisfies the equation. For (2, 2), substitute x = 2 and y = 2 into the equation 6x + 3y = 15. Calculation: 6(2) + 3(2) = 12 + 6 = 18. Check if the result equals 15.Since 18 does not equal 15, (2, 2) is not a solution to the equation.Since neither (3, -2) nor (2, 2) satisfy the equation, the correct answer is (D) Neither.

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Which ordered pair is a solution of the equation?

6x+3y=15
Choose 1 answer:
(A) Only
(3,-2)
(B) Only
(2,2)
(c) Both
(3,-2) and
(2,2)
(D) Neither

Which ordered pair is a solution of the equation? $\newline$ $6x+3y=15$ $\newline$ Choose $1$ answer: $\newline$ (A) Only $(3,-2)$ $\newline$ (B) Only $(2,2)$ $\newline$ (C) Both $(3,-2)$ and $(2,2)$ $\newline$ (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

6x+3y=15

\newline

Choose

1

answer:

\newline

(A) Only

(3,-2)

\newline

(B) Only

(2,2)

\newline

(3,-2)

and

(2,2)

\newline

(D) Neither

Check $(3, -2)$ : Substitute the $x$ and $y$ values from option (A) into the equation to check if it satisfies the equation. $\newline$ For $(3, -2)$ , substitute $x = 3$ and $y = -2$ into the equation $6x + 3y = 15$ . $\newline$ Calculation: $6(3) + 3(-2) = 18 - 6 = 12$ . $\newline$ Check if the result equals $15$ .
Check $(2, 2)$ : Since $12$ does not equal $15$ , $(3, -2)$ is not a solution to the equation.
Neither satisfies the equation: Substitute the $x$ and $y$ values from option (B) into the equation to check if it satisfies the equation. $\newline$ For $($ $2$ , $2$ ), substitute $x =$ $2$ and $y =$ $2$ into the equation $6$ x + $3$ y = $15$ . $\newline$ Calculation: $6$ ( $2$ ) + $3$ ( $2$ ) = $12$ + $6$ = $18$ . $\newline$ Check if the result equals $15$ .
Neither satisfies the equation: Substitute the $x$ and $y$ values from option (B) into the equation to check if it satisfies the equation. $\newline$ For $(2, 2)$ , substitute $x = 2$ and $y = 2$ into the equation $6x + 3y = 15$ . $\newline$ Calculation: $6(2) + 3(2) = 12 + 6 = 18$ . $\newline$ Check if the result equals $15$ .Since $18$ does not equal $15$ , $(2, 2)$ is not a solution to the equation.
Neither satisfies the equation: Substitute the $x$ and $y$ values from option (B) into the equation to check if it satisfies the equation. $\newline$ For $(2, 2)$ , substitute $x = 2$ and $y = 2$ into the equation $6x + 3y = 15$ . $\newline$ Calculation: $6(2) + 3(2) = 12 + 6 = 18$ . $\newline$ Check if the result equals $15$ .Since $18$ does not equal $15$ , $(2, 2)$ is not a solution to the equation.Since neither $y$ $1$ nor $(2, 2)$ satisfy the equation, the correct answer is (D) Neither.