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

What is y=65x+9 y=\frac{6}{5} x+9 written in standard form?\newlineChoose 11 answer:\newline(A) 6x+y=9 -6 x+y=9 \newline(B) 6x+5y=9 -6 x+5 y=9 \newline(C) 6x+y=45 -6 x+y=45 \newline(D) 6x+5y=45 -6 x+5 y=45

Full solution

Q. What is y=65x+9 y=\frac{6}{5} x+9 written in standard form?\newlineChoose 11 answer:\newline(A) 6x+y=9 -6 x+y=9 \newline(B) 6x+5y=9 -6 x+5 y=9 \newline(C) 6x+y=45 -6 x+y=45 \newline(D) 6x+5y=45 -6 x+5 y=45
  1. Multiply by 55: First, we multiply both sides of the equation by 55 to eliminate the fraction.\newline5(y)=5(65x+9)5(y) = 5\left(\frac{6}{5}x + 9\right)\newlineThis simplifies to:\newline5y=6x+455y = 6x + 45
  2. Move term 66x: Next, we move the term 66x to the left side of the equation to have all terms on one side.\newline6-6x + 55y = 4545
  3. Check answer choices: Now, we check the answer choices to see which one matches our equation.\newline(A) 6x+y=9-6x + y = 9 (This is not correct because the coefficient of yy is not 55 and the constant term is not 4545.)\newline(B) 6x+5y=9-6x + 5y = 9 (This is not correct because the constant term is not 4545.)\newline(C) 6x+y=45-6x + y = 45 (This is not correct because the coefficient of yy is not 55.)\newline(D) 6x+5y=45-6x + 5y = 45 (This is correct because it matches the equation we derived.)

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