Problem on Cross Multiplication

Solve the following equation on Algebraic Cross Multiplication:
6y-5/2y=7/9
Answer:
6y-5/2y=7/9
(6y-5)*9=7*(2y)
54y-45=14 y
54y-14y=45
40y=45
y=45/40
y=9/8

Solving Linear Equation in One Variable

An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.

An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.


Solve
x/4-(x-3)/6=1

Multiplying throughout by the LCM of the denominators (which is 12):
12*(x/4)-12(x-3)/6=12*1


3x - 2 (x - 3) = 12

3x - 2x + 6 = 12

x = 12 - 6

x = 6