Equation Reducible to Linear Equations in Two Variables
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Solve : ,
Solve
30x−y+44x+y=10
40x−y+55x+y=13
x = 8 and y = 3
x = 3 and y = 8
x = 5 and y = 3
x = 3 and y = 5
Two straight paths are represented by the equations and.Check whether the paths cross each other or not.
Solve the following pairs of equation
2xyx+y=32, xy2x−y=−310, x+y≠0, 2x−y≠0
Solve the following pair of linear equations by the substitution method.
3x2−5y3=−2;x3+y2=136
(i) x+y=14;x−y=4
(ii) s−t=3;s3+t2=6
(iii) 3x−y=3;9x−3y=9
(iv) 0.2x+0.3y=1.3;0.4x+0.5y=2.3
(v) √2x+√3y=0;√3x−√8y=0
(vi) 3x2−5y3=−2;x3+y2=136
The manager of a theater wants to know whether the majority of its patrons are adults or children. One day; tickets were sold and the receipts totaled . The adult admission is , and the childrens admission is . How many adult patrons were there?
Solve the following system of equations:
8v−3u=5uv
6v−5u=−2uv
- None of these
- Both A and B
Solve the following pairs of equations by reducing them to a pair of linear equations:
5x−1+1y−2=2
6x−1−3y−2=1
Solve the following pair of equations
5x−1+1y−2=2
6x−1−3y−2=1
4, 5
13, 13
5, 3
None of these
2x+3y=13
5x−4y=−2
- x=12, y=13
- x=13, y=12
- x=2, y=3
- x=3, y=2
8v−3u=5uv
6v−5u=−2uv
- u=3122, v= 2311
- u=3122, v= 1123
- u=2231, v=1123
- u=2231, v=2311
- True
- False
1x+3y=1
6x−12y=2
(Where x≠0, y≠0)
- x=35, y=73
- x=53, y=152
- x=3, y=11
- x=4, y=9
Question 9 (iv)
Solve the following pairs of equation
12x−1y=−1, 1x+12y=8, x, y ≠0
Solve the following equations
x+y=1072,
x13+y13=16.
- x=729;y=343
- x=720;y=343
- x=524;y=629
- x=343;y=729
1x+3y=1
6x−12y=2
(Where x≠0, y≠0)
- x=35, y=73
- x=53, y=152
- x=3, y=11
- x=4, y=9
- If k = 4, coincident lines with many solution
- If k = 36, parallel lines with no solution
- Both (a) and (b)
- None of these
2x+3y=13
5x−4y=−2
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation:
Changes
Remains the same
Changes in case of multiplication only
Changes in case of division only.
2x+3y=13
5x−4y=−2
(3 Marks)
- True
- False
On the basis of the graph shown below which shows the graphical representation of a pair of linear equations, the pair of linear equations has _______________solution(s).
infinite
four
zero
a unique
Solve the following pair of linear equations
2√x + 3√y = 2
4√x - 9√y = -1
9, 8
4, 9
3, 2
12, 13
8v−3u=5uv
6v−5u=−2uv
- u=3122, v= 2311
- u=3122, v= 1123
- u=2231, v=1123
- u=2231, v=2311
Solve the given pair of equations.
2x + 3y = 13
5x - 4y = -2
13, 12
2, 3
3, 2
12, 13
1x+1y=4, 1x−1y=2
- 6
- 16
- 3
- 13