Advertisements
Advertisements
Question
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
`[5y]/2 - x/3 = 8`
`y/2 + [5x]/3 = 12`
Advertisements
Solution
The given pair of linear equations are
`[5y]/2 - x/3 = 8`
⇒ `- x/3 + [5y]/2 = 8` .....(1) [ On Similifying ]
`y/2 + [5x]/3 = 12`
⇒ `[5x]/3 + y/2 = 12` .....(2) [ On Similifying ]
Multiply equation (1) by 5, we get
` -[5x]/3 + [25y]/2 = 40` ......(3)
Adding equation (3) and (2)
` -[5x]/3 + [25y]/2 = 40`
+ `[5x]/3 + y/2 = 12`
`[26y]/2 = 52`
⇒ 13y = 52
⇒ y = 4
Substituting y = 4 in equation (1), We get
`- x/3 + [5(4)]/2 = 8`
⇒ `-x/3 = 8 - 10`
⇒ x = 6
∴ Solution is x = 6 and y = 4.
APPEARS IN
RELATED QUESTIONS
For solving pair of equation, in this exercise use the method of elimination by equating coefficients :
`[ x - y ]/6 = 2( 4 - x )`
2x + y = 3( x - 4 )
If 10y = 7x - 4 and 12x + 18y = 1; find the values of 4x + 6y and 8y - x.
The value of expression mx - ny is 3 when x = 5 and y = 6. And its value is 8 when x = 6 and y = 5. Find the values of m and n.
Solve :
`4x + [ x - y ]/8 = 17`
`2y + x - [ 5y + 2 ]/3 = 2`
Solve the following simultaneous equations :
6x + 3y = 7xy
3x + 9y = 11xy
Solve the following pairs of equations:
`(2)/(x + 1) - (1)/(y - 1) = (1)/(2)`
`(1)/(x + 1) + (2)/(y - 1) = (5)/(2)`
A solution containing 12% alcohol is to be mixed with a solution containing 4% alcohol to make 20 gallons of solution containing 9% alcohol. How much of each solution should be used?
Sunil and Kafeel both have some oranges. If Sunil gives 2 oranges to Kafeel, then Kafeel will have thrice as many as Sunil. And if Kafeel gives 2 oranges to Sunil, then they will have the same numbers of oranges. How many oranges does each have?
Two mobiles S1 and S2 are sold for Rs. 10,490 making 4% profit on S1 and 6% on S2. If the two mobiles are sold for Rs.10,510, a profit of 6% is made on S1 and 4% on S2. Find the cost price of both the mobiles.
A and B can build a wall in `6(2)/(3)` days. If A's one day work is `1(1)/(4)` of one day work of B, find in 4 how many days A and B alone can build the wall.
