how to work out simultaneous equations

Problems on Simultaneous Equations - 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 Subs..

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..

How Modems Work? - When a modem first makes a connection, you will hear screeching sounds coming from the modem. These are digital signals coming from the computer to which you are connecting being modulated into audible sounds. The modem sends a higher-pitched tone to represent..

The transference of energy may take place as work if the system and surroundings have different pressures. For e.g., suppose a gaseous system is enclosed in a cylinder fitted with a movable piston. If pressure of the system is higher, the piston will be pushed up until the pressure of th..

H 2 and O 2 are bubbled through a porous carbon rod into concentrated NaOH. Catalysts are present in the electrodes. ..

The various forms of biomass are mixed with an equal quantity of water in the mixing tank. This forms the slurry. The slurry is fed into the digester through the inlet chamber. When the digester is partially filled with the slurry, the introduction of slurry is stopped and the plant is left..

When the circuit is completed, a deflection is observed in the (G) towards the zinc electrode indicating that the e - are flowing from the Zn electrode to Cu electrode. Al the Zn electrode, oxidation takes place. The 'e' removed or lost or retained by the metal move through the material of the ..

Photocopier moves a document from the handler to the glass plate, where the pattern of the image is projected by lamps, mirrors and lenses onto a photoreceptor belt (or drum). The electrostatic charge on the belt fades in areas receiving light from the projected image. Magnetic rollers brush the b..