y=94x+14

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.

4,4

Since 4,4 contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part 4,4 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.

4 has factors of 2 and 2.

2⋅2

Multiply 2 by 2.

4

4

Multiply both sides by 4.

4y=4(94x+14)

Combine 94 and x.

4y=4(9×4+14)

Apply the distributive property.

4y=49×4+4(14)

Cancel the common factor of 4.

Cancel the common factor.

4y=49×4+4(14)

Rewrite the expression.

4y=9x+4(14)

4y=9x+4(14)

Cancel the common factor of 4.

Cancel the common factor.

4y=9x+4(14)

Rewrite the expression.

4y=9x+1

4y=9x+1

4y=9x+1

Rewrite the equation with the sides flipped.

9x+1=4y

Subtract 4y from both sides of the equation.

9x+1-4y=0

Move 1.

9x-4y+1=0

9x-4y+1=0

Subtract 1 from both sides of the equation.

9x-4y=-1

Rewrite in Standard Form y=9/4x+1/4