What is y+3=7(x-2) written in standard form? Choose 1 answer: (A) y=7x-5 (B) -7x+y=-5 (C) y=7x-17 (D) -7x+y=-17

Distribute 7 to both terms: First, we need to distribute the 7 to both terms inside the parentheses on the right side of the equation. y + 3 = 7(x - 2) y + 3 = 7x - 14Subtract 3 from both sides: Next, we need to subtract 3 from both sides to move the constant term to the right side of the equation. y + 3 - 3 = 7x - 14 - 3 y = 7x - 17Write equation in standard form: Now, we need to write the equation in standard form, which is Ax + By = C. To do this, we subtract 7x from both sides to get the x term on the left side. -7x + y = -17Check answer choices: Finally, we check the answer choices to see which one matches our equation in standard form. (A) y = 7x - 5 (This is not in standard form.) (B) -7x + y = -5 (This does not match our equation.) (C) y = 7x - 17 (This is not in standard form.) (D) -7x + y = -17 (This matches our equation in standard form.)

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What is
y+3=7(x-2) written in standard form?
Choose 1 answer:
(A)
y=7x-5
(B)
-7x+y=-5
(C)
y=7x-17
(D)
-7x+y=-17

What is $y+3=7(x-2)$ written in standard form? $\newline$ Choose $1$ answer: $\newline$ (A) $y=7 x-5$ $\newline$ (B) $-7 x+y=-5$ $\newline$ (C) $y=7 x-17$ $\newline$ (D) $-7 x+y=-17$

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Math Problems

Algebra 1

Identify equivalent linear expressions

Full solution

Q. What is

y+3=7(x-2)

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

y=7 x-5

\newline

(B)

-7 x+y=-5

\newline

(C)

y=7 x-17

\newline

(D)

-7 x+y=-17

Distribute $7$ to both terms: First, we need to distribute the $7$ to both terms inside the parentheses on the right side of the equation. $\newline$ $y + 3 = 7(x - 2)$ $\newline$ $y + 3 = 7x - 14$
Subtract $3$ from both sides: Next, we need to subtract $3$ from both sides to move the constant term to the right side of the equation. $\newline$ $y + 3 - 3 = 7x - 14 - 3$ $\newline$ $y = 7x - 17$
Write equation in standard form: Now, we need to write the equation in standard form, which is $Ax + By = C$ . To do this, we subtract $7x$ from both sides to get the $x$ term on the left side. $\newline$ $-7x + y = -17$
Check answer choices: Finally, we check the answer choices to see which one matches our equation in standard form. $\newline$ (A) $y = 7x - 5$ (This is not in standard form.) $\newline$ (B) $-7x + y = -5$ (This does not match our equation.) $\newline$ (C) $y = 7x - 17$ (This is not in standard form.) $\newline$ (D) $-7x + y = -17$ (This matches our equation in standard form.)