Question

I’m doing literal equations and I need help on this question X + 2/ y - 1 = 2

Answer 1

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 

                     x+2/y-1-(2)=0 

STEP1:

2 Simplify — y

Equation at the end of step1:

2 ((x + —) - 1) - 2 = 0 y

STEP2:Rewriting the whole as an Equivalent Fraction

 2.1   Adding a fraction to a whole 

Rewrite the whole as a fraction using  y  as the denominator :

x x • y x = — = ————— 1 y

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole 

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

 2.2       Adding up the two equivalent fractions 

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • y + 2 xy + 2 ————————— = —————— y y

Equation at the end of step2:

(xy + 2) (———————— - 1) - 2 = 0 y

STEP3:

Rewriting the whole as an Equivalent Fraction :

 3.1   Subtracting a whole from a fraction 

Rewrite the whole as a fraction using  y  as the denominator :

1 1 • y 1 = — = ————— 1 y

Adding fractions that have a common denominator :

 3.2       Adding up the two equivalent fractions 

(xy+2) - (y) xy - y + 2 ———————————— = —————————— y y

Equation at the end of step3:

(xy - y + 2) ———————————— - 2 = 0 y

STEP4:

Rewriting the whole as an Equivalent Fraction :

 4.1   Subtracting a whole from a fraction 

Rewrite the whole as a fraction using  y  as the denominator :

2 2 • y 2 = — = ————— 1 y

Adding fractions that have a common denominator :

 4.2       Adding up the two equivalent fractions 

(xy-y+2) - (2 • y) xy - 3y + 2 —————————————————— = ——————————— y y

Equation at the end of step4:

xy - 3y + 2 ——————————— = 0 y

STEP5:

When a fraction equals zero :

 5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

xy-3y+2 ——————— • y = 0 • y y

Now, on the left hand side, the  y  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

   xy-3y+2  = 0

Solving a Single Variable Equation:

 5.2     Solve   xy-3y+2  = 0 

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.