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Class 9
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Solving simultaneous equations
Solving simultaneous equations
Theory
Theory
Procedure
Simulator
Self Evaluation
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1)
If there are three variables in a simultaneous linear equation, then how many equations will be required to find out the values of all the three variables?
4
2
3
1
2)
State true or false: In equation 'ax + by + c = 0', a and b are called coefficients of the variables x and y.
False
True
3)
Solve the equations. i) 2x + 3y = 13 and ii) 2x + 5y = 19
x=1, y=2
x=2, y=4
x=2, y=3
x=3, y=2
4)
Solve the equations. i) 9x + 4y = -26 and ii) x + 2y = -6
x=-1, y=-2
x=2, y=-2
x=2, y=4
x=-2, y=-2
5)
Solve the equations. i) -10x - 4y = -52 ii) 2x + 32y = 260
x=2, y=25
x=10, y=25
x=10, y=8
x=2, y=8
6)
When solving a system of equations, how many solutions can a consistent and independent system have?
Two solutions
One solution
Infinite solutions
No solution
7)
What does it mean if a system of equations is consistent and dependent?
It has multiple solutions
It has no solution
It has one unique solution
It cannot be determined
8)
In the substitution method, what do you substitute into the other equation?
The difference of the equations
One equation into the other
The sum of the equations
The product of the equations
9)
How many solutions does an inconsistent system of equations have?
No solution
One solution
Infinite solutions
Two solutions
10)
What is the solution to the system of equations: 3x - 2y = 4 and 2x + y = 1?
(x, y) = (2, -1)
(x, y) = (5, -2)
(x, y) = (-1, 2)
(x, y) = (-2, 5)