Which ordered pair is a solution of the equation? −4x+7=2y−3 Choose 1 answer: (A) Only (2,1) (B) Only (5,−5) (C) Both (2,1) and (5,−5) (D) Neither

Solve for y: To find an ordered pair that is a solution to the equation, we need to express y in terms of x or x in terms of y. Let's solve for y first. -4x + 7 = 2y - 3 Add 3 to both sides to isolate the terms with y on one side. -4x + 7 + 3 = 2y - 3 + 3 -4x + 10 = 2yDivide by 2: Now, divide both sides by 2 to solve for y. (-4x + 10) / 2 = 2y / 2 -2x + 5 = y Now we have y expressed in terms of x.Choose x = 0: To find an ordered pair, we can choose any value for x and then find the corresponding value for y using the equation y = -2x + 5. Let's choose x = 0 for simplicity. y = -2(0) + 5 y = 5 So, when x = 0, y = 5.Find Ordered Pair: The ordered pair that is a solution to the equation is (0, 5).

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Which ordered pair is a solution of the equation? $\newline$ $-4x+7=2y-3$ $\newline$ Choose $1$ answer: $\newline$ (A) Only $(2,1)$ $\newline$ (B) Only $(5,-5)$ $\newline$ (C) Both $(2,1)$ and $(5,-5)$ $\newline$ (D) Neither

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Math Problems

Algebra 1

Create linear equations with no solutions or infinitely many solutions

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

\newline

-4x+7=2y-3

\newline

Choose

1

answer:

\newline

(A) Only

(2,1)

\newline

(B) Only

(5,-5)

\newline

(2,1)

and

(5,-5)

\newline

(D) Neither

Solve for y: To find an ordered pair that is a solution to the equation, we need to express $y$ in terms of $x$ or $x$ in terms of $y$ . Let's solve for $y$ first. $-4x + 7 = 2y - 3$ Add $3$ to both sides to isolate the terms with $y$ on one side. $-4x + 7 + 3 = 2y - 3 + 3$ $-4x + 10 = 2y$
Divide by $2$ : Now, divide both sides by $2$ to solve for y. $\newline$ $(-4x + 10) / 2 = 2y / 2$ $\newline$ $-2x + 5 = y$ $\newline$ Now we have $y$ expressed in terms of $x$ .
Choose $x = 0$ : To find an ordered pair, we can choose any value for $x$ and then find the corresponding value for $y$ using the equation $y = -2x + 5$ . Let's choose $x = 0$ for simplicity. $\newline$ $y = -2(0) + 5$ $\newline$ $y = 5$ $\newline$ So, when $x = 0$ , $y = 5$ .
Find Ordered Pair: The ordered pair that is a solution to the equation is $(0, 5)$ .