Rewrite in Standard Form 1/10x+1/3y=5/6

Math
110x+13y=56
The standard form of a linear equation is Ax+By=C.
Find the LCD of 110, 13, and 56.
Tap for more steps…
Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.
10,3,6
Since 10,3,6 contain both numbers and variables, there are two steps to find the LCM. Find LCM for the numeric part 10,3,6 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.
10 has factors of 2 and 5.
2⋅5
Since 3 has no factors besides 1 and 3.
3 is a prime number
6 has factors of 2 and 3.
2⋅3
The LCM of 10,3,6 is the result of multiplying all prime factors the greatest number of times they occur in either number.
2⋅3⋅5
The LCM of 10,3,6 is 2⋅3⋅5=30.
Tap for more steps…
Multiply 2 by 3.
6⋅5
Multiply 6 by 5.
30
30
30
Multiply both sides by 30.
30(110x+13y)=30(56)
Simplify 30(110x+13y).
Tap for more steps…
Simplify each term.
Tap for more steps…
Combine 110 and x.
30(x10+13y)=30(56)
Combine 13 and y.
30(x10+y3)=30(56)
30(x10+y3)=30(56)
Simplify terms.
Tap for more steps…
Apply the distributive property.
30×10+30y3=30(56)
Cancel the common factor of 10.
Tap for more steps…
Factor 10 out of 30.
10(3)x10+30y3=30(56)
Cancel the common factor.
10⋅3×10+30y3=30(56)
Rewrite the expression.
3x+30y3=30(56)
3x+30y3=30(56)
Cancel the common factor of 3.
Tap for more steps…
Factor 3 out of 30.
3x+3(10)y3=30(56)
Cancel the common factor.
3x+3⋅10y3=30(56)
Rewrite the expression.
3x+10y=30(56)
3x+10y=30(56)
3x+10y=30(56)
3x+10y=30(56)
Simplify 30(56).
Tap for more steps…
Cancel the common factor of 6.
Tap for more steps…
Factor 6 out of 30.
3x+10y=6(5)56
Cancel the common factor.
3x+10y=6⋅556
Rewrite the expression.
3x+10y=5⋅5
3x+10y=5⋅5
Multiply 5 by 5.
3x+10y=25
3x+10y=25
Rewrite in Standard Form 1/10x+1/3y=5/6

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top