y/9=5/17

This deals with adding, subtracting and finding the least typical multiple.




You are watching: Solve this equation: y/9 + 5 = 0.

Step by action Solution

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Rearrange:

Rearrange the equation by subtracting what is come the right of the equal authorize from both sides of the equation : y/9-(5/17)=0

Step by step solution :

Step 1 :

5 simplify —— 17Equation in ~ the finish of step 1 : y 5 — - —— = 0 9 17

Step 2 :

y simplify — 9Equation at the finish of action 2 : y 5 — - —— = 0 9 17

Step 3 :

Calculating the Least common Multiple :3.1 uncover the Least typical Multiple The left denominator is : 9 The right denominator is : 17

Number that times each prime factorappears in the factorization of:PrimeFactorLeftDenominatorRightDenominatorL.C.M = MaxLeft,Right
3202
17011
Product of allPrime Factors917153

Least usual Multiple: 153

Calculating multiplier :

3.2 calculation multipliers for the 2 fractions denote the Least common Multiple through L.C.M denote the Left Multiplier through Left_M represent the ideal Multiplier by Right_M represent the Left Deniminator by L_Deno represent the right Multiplier by R_DenoLeft_M=L.C.M/L_Deno=17Right_M=L.C.M/R_Deno=9

Making identical Fractions :

3.3 Rewrite the 2 fractions into tantamount fractionsTwo fountain are dubbed equivalent if they have actually the very same numeric value. For example : 1/2 and also 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are identical as well. To calculate equivalent fraction , multiply the molecule of every fraction, by its respective Multiplier.

L. Mult. • L. Num. Y • 17 —————————————————— = —————— L.C.M 153 R. Mult. • R.

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Num. 5 • 9 —————————————————— = ————— L.C.M 153 adding fractions that have a usual denominator :3.4 including up the two equivalent fractions add the two identical fractions i m sorry now have actually a usual denominatorCombine the numerators together, placed the sum or distinction over the usual denominator then alleviate to lowest terms if possible:

y • 17 - (5 • 9) 17y - 45 ———————————————— = ———————— 153 153 Equation at the finish of action 3 : 17y - 45 ———————— = 0 153

Step 4 :

When a fraction equals zero :4.1 as soon as a portion equals zero ...Where a fraction equals zero, that numerator, the part which is above the fraction line, need to equal zero.Now,to get rid of the denominator, Tiger multiplys both political parties of the equation through the denominator.Here"s how:

17y-45 —————— • 153 = 0 • 153 153 Now, on the left hand side, the 153 cancels out the denominator, while, top top the ideal hand side, zero time anything is quiet zero.The equation now takes the shape:17y-45=0

Solving a solitary Variable Equation:4.2Solve:17y-45 = 0Add 45 come both sides of the equation:17y = 45 division both sides of the equation through 17:y = 45/17 = 2.647