Advertisements
Advertisements
Question
Solve for x and y:
`2x + 5y = 8/3, 3x - 2y = 5/6`
Solution
The given equations are:
2x - 2y = `5/6` …..(i)
3x - 2y = `5/6` ……..(ii)
On multiplying (i) by 2 and (ii) by 5, we get:
4x - 10y = `16/3` …...(iii)
15x – 10y =`25/6` …(iv)
On adding (iii) and (iv), we get:
19x =`57/6`
⇒` x = 57/(6 xx19) = 3/6 = 1/2`
On substituting x = `1/2` in (i), we get:
`2 × 1/2 + 5y = 8/3`
`⇒ 5y = (8/3−1) = 5/3`
`⇒y = 5/(3 × 5) = 1/3`
Hence, the solution is x = `1/2 and y = 1/3`.
APPEARS IN
RELATED QUESTIONS
Draw the graph of the equation y – x = 2
Find the value of k for which the following system of equations has a unique solution:
x + 2y = 3
5x + ky + 7 = 0
Solve for x and y:
`a^2x + b^2y = c^2, b^2x + a^2y = d^2`
For what value of k, the system of equations
kx + 2y = 5,
3x - 4y = 10
has (i) a unique solution, (ii) no solution?
Find the value of k for which the system of equations
5x - 3y = 0, 2x + ky = 0
has a non-zero solution.
The sum of two numbers is 137 and their differences are 43. Find the numbers.
If twice the son’s age in years is added to the mother’s age, the sum is 70 years. But, if twice the mother’s age is added to the son’s age, the sum is 95 years. Find the age of the mother and that of the son.
Find the value of k for which the system of equations 3x + 5y = 0 and kx + 10y = 0 has infinite nonzero solutions.
Solve the following for x:
`1/(2a+b+2x)=1/(2a)+1/b+1/(2x)`
If 17x + 15y = 11 and 15x + 17y = 21, then find the value of x − y.
