sums on simultaneous equations

Solve the following Systems of linear equations : 1. If one number is thrice the other and their sum is 60, find the numbers. 2. Find the fraction which becomes 1/2 when the denominator is increased by 5 and is equal to 1/3 when the numerator is diminished by 4..

If one number is thrice the other and their sum is 60, find the numbers. Let the numbers be x and y. x is 3 times y x = 3y (1) Sum of x and y is 60 x + y = 60 (2) Putting the value of x from (1) in (2), we get, 3y + y = 60 4y = 60 y = 15 Substituting y = 15 in (1), we ..

Two 6-sided dice are rolled simultaneously. List all the outcomes, where the sum of the two numbers is 5. => (0, 5), (5, 0) or (1, 4), (2, 3), (3, 2), (4, 1) or (0, 5) or None of the above..

Two 6-sided dice are rolled simultaneously. List all the outcomes, where the sum of the two numbers is 9. => (3, 6), (4, 5), (5, 4), (6, 3) or (2, 7) or (2, 7), (7, 2) or None of the above..

Two 6-sided dice are rolled simultaneously. List all the outcomes, where the sum of the two numbers is 9. => (2, 7), (7, 2) or (3, 6), (4, 5), (5, 4), (6, 3) or (2, 7) or None of the above..

Identify the probability of getting a sum of 8 when two dice are rolled simultaneously. => 6 36 or 5 36 or 1 36 or 7 36..

Solving two equations simultaneously means to find the common solution of both the equations, i.e., a solution which satisfies both the equations. The following two methods are used to find a solution: (a) Method of elimination (b) Method of substitutio..

A linear equations in two variables x and y is of the form ax + by + c = 0 ( ) where a, b, c are real numbers. To find a solution for this equation, we can assign any value for one of the variables and find the value of the other variable such that the two sides of the ..

Two inequalities, containing the same unknowns, are called equivalent, if they are valid at the same values of the unknowns. The same definition is used for the equivalence of two systems of simultaneous inequalities. Solving of inequalities is a process of transition from one inequ..

Simultaneous Equations - Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions, some of these are x = 0, Consider a linear equations in two variables , say, 3x - 2y = 5. It has an infinite number of solutions,..