2) Elimination Method- In this method we need to eliminate one variable out of the two equations. This can be further explained using a example
Here we have to make one of the coefficient of both the equations equal. For doing this we will multiply coefficient of x i.e 9 with eq2 and 7 with eq1
`12x-27y= 60` ....eq3
`12x-28y= 80` ....eq4
Now we will subtract eq4 from eq3
We get `y=-20` thus `4x-9(-20)=20`
Shaalaa.com | Pair of Linear Equation in two variable part 11 (Algebraic Elimination)
Out of 1900 km, Vishal travelled some distance by bus and some by aeroplane. Bus travels with average speed 60 km/hr and the average speed of aeroplane is 700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vishal travelled by bus.
Two types of boxes A, B are to be placed in a truck having capacity of 10 tons. When 150 boxes of type A and 100 boxes of type B are loaded in the truck, it weighes 10 tons. But when 260 boxes of type A are loaded in the truck, it can still accommodate 40 boxes of type B, so that it is fully loaded. Find the weight of each type of box.