What is y=-(2)/(9)x+2 written in standard form? Choose 1 answer: (A) 2x+y=18 (B) 2x+9y=2 (C) 2x+9y=18 (D) 2x+y=2

Step 1: Multiply by 9: To convert the given equation y = -(2/9)x + 2 into standard form, we need to rearrange it so that all terms are on one side of the equation and the x and y terms are written as integers. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.Step 2: Move -2x term: First, multiply both sides of the equation by 9 to eliminate the fraction. 9y = -2x + 18Step 3: Check coefficients: Next, move the term -2x to the left side of the equation by adding 2x to both sides. 2x + 9y = 18Check that the coefficients are integers and that the x-term coefficient is non-negative, which is required for standard form. 2x + 9y = 18 satisfies both conditions.

Home

Math Problems

Algebra 2

Evaluate rational expressions II

Full solution

Q. What is

y=-\frac{2}{9} x+2

written in standard form?

\newline

Choose

1

answer:

\newline

(A)

2 x+y=18

\newline

(B)

2 x+9 y=2

\newline

(C)

2 x+9 y=18

\newline

(D)

2 x+y=2

Step $1$ : Multiply by $9$ : To convert the given equation $y = -\left(\frac{2}{9}\right)x + 2$ into standard form, we need to rearrange it so that all terms are on one side of the equation and the $x$ and $y$ terms are written as integers. The standard form of a linear equation is $Ax + By = C$ , where $A$ , $B$ , and $C$ are integers, and $A$ should be non-negative.
Step $2$ : Move $-2x$ term: First, multiply both sides of the equation by $9$ to eliminate the fraction. $\newline$ $9y = -2x + 18$
Step $3$ : Check coefficients: Next, move the term $-2x$ to the left side of the equation by adding $2x$ to both sides. $\newline$ $2x + 9y = 18$
Step $3$ : Check coefficients: Next, move the term $-2x$ to the left side of the equation by adding $2x$ to both sides. $\newline$ $2x + 9y = 18$ Check that the coefficients are integers and that the $x$ -term coefficient is non-negative, which is required for standard form. $\newline$ $2x + 9y = 18$ satisfies both conditions.