-5×11-7911=y

The standard form of a linear equation is Ax+By=C.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

11,11

Since 11,11 contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part 11,11 then find LCM for the variable part .

The LCM is the smallest positive number that all of the numbers divide into evenly.

1. List the prime factors of each number.

2. Multiply each factor the greatest number of times it occurs in either number.

Since 11 has no factors besides 1 and 11.

11 is a prime number

The LCM of 11,11 is the result of multiplying all prime factors the greatest number of times they occur in either number.

11

11

Multiply both sides by 11.

11(-5×11-7911)=11y

Apply the distributive property.

11(-5×11)+11(-7911)=11y

Cancel the common factor of 11.

Move the leading negative in -5×11 into the numerator.

11-5×11+11(-7911)=11y

Cancel the common factor.

11-5×11+11(-7911)=11y

Rewrite the expression.

-5x+11(-7911)=11y

-5x+11(-7911)=11y

Cancel the common factor of 11.

Move the leading negative in -7911 into the numerator.

-5x+11(-7911)=11y

Cancel the common factor.

-5x+11(-7911)=11y

Rewrite the expression.

-5x-79=11y

-5x-79=11y

-5x-79=11y

Rewrite the equation with the sides flipped.

11y=-5x-79

Add 5x to both sides of the equation.

11y+5x=-79

Reorder 11y and 5x.

5x+11y=-79

5x+11y=-79

Rewrite in Standard Form -(5x)/11-79/11=y