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Q36.

Expert-verified
Found in: Page 66

### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

# Write each equation in standard form. Identify A, B and C.$36.\text{}0.25y=10$

The standard form of the given equation is $0x+y=40$ and the value of A, B and C are $0,1\text{and 4}0$ respectively.

See the step by step solution

## Step 1- Given information

A linear equation $0.25y=10$.

## Step 2- Concept used

The Standard form of a linear equation is:

$Ax+By=C$ where, A, B and C are integers whose greatest common factor is 1.

## Step 3- To find the standard form and value of A, B and C

From given information,

$\begin{array}{l}0.25y=10\\ ⇒\frac{25}{100}y=10\\ ⇒\frac{1}{4}y=10\\ ⇒y=40\\ ⇒0x+y=40\end{array}$

The standard form of the given equation is:

$0x+y=40$

Now compare this equation by the equation $Ax+By=C$.

So, $A=0,B=1\text{and}C=40$

Hence, the standard form of the given equation is $0x+y=40$ and the value of A, B and C are $0,1\text{and 4}0$ respectively.