What is y=(6)/(5)x+9 written in standard form? Choose 1 answer: (A) -6x+y=45 (B) -6x+5y=9 (C) -6x+y=9 (D) -6x+5y=45

Multiply by 5: To convert the equation y = (6/5)x + 9 into standard form, we need to rearrange it so that it is in the form Ax + By = C, where A, B, and C are integers, and A should be non-negative. First, we multiply both sides of the equation by 5 to eliminate the fraction. 5 * y = 5 * ((6/5)x + 9)Combine like terms: After multiplying, we get: 5y = 6x + 45 Now we need to move the term with x to the same side as the y term to get the equation in standard form.Move x term to left side: Subtract 6x from both sides of the equation to move the x term to the left side: 5y - 6x = 45Rearrange terms: The standard form of a linear equation is Ax + By = C. To match this form, we need to rearrange the terms so that the x term comes before the y term: -6x + 5y = 45Compare to answer choices: Now the equation is in standard form. We can compare it to the answer choices given: (A) -6x + y = 45 (B) -6x + 5y = 9 (C) -6x + y = 9 (D) -6x + 5y = 45

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Math Problems

Algebra 2

Evaluate rational expressions II

Full solution

Q. What is

y=\frac{6}{5} x+9

written in standard form?

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Choose

1

answer:

\newline

(A)

-6 x+y=45

\newline

(B)

-6 x+5 y=9

\newline

(C)

-6 x+y=9

\newline

(D)

-6 x+5 y=45

Multiply by $5$ : To convert the equation $y = \frac{6}{5}x + 9$ into standard form, we need to rearrange it so that it is in the form $Ax + By = C$ , where $A$ , $B$ , and $C$ are integers, and $A$ should be non-negative. $\newline$ First, we multiply both sides of the equation by $5$ to eliminate the fraction. $\newline$ $5 \cdot y = 5 \cdot \left(\frac{6}{5}x + 9\right)$
Combine like terms: After multiplying, we get: $\newline$ $5y = 6x + 45$ $\newline$ Now we need to move the term with $x$ to the same side as the $y$ term to get the equation in standard form.
Move $x$ term to left side: Subtract $6x$ from both sides of the equation to move the $x$ term to the left side: $\newline$ $5y - 6x = 45$
Rearrange terms: The standard form of a linear equation is $Ax + By = C$ . To match this form, we need to rearrange the terms so that the $x$ term comes before the $y$ term: $\newline$ $-6x + 5y = 45$
Compare to answer choices: Now the equation is in standard form. We can compare it to the answer choices given: $\newline$ (A) $-6x + y = 45$ $\newline$ (B) $-6x + 5y = 9$ $\newline$ (C) $-6x + y = 9$ $\newline$ (D) $-6x + 5y = 45$