The value of x = 1/2 , y = 3 of the simultaneous equation.
What are simultaneous equation ?
"Simultaneous Equation is an essential Chapter in the Algebra branch of Mathematics. There are times when you come across two or more unknown quantities and two or more equations relating to them. These are called Simultaneous Equations. When you are asked to solve such equations, you must find values of the unknowns which satisfy all the given equations at the same time. They are Simultaneous Equations because the equations are solved at the same time. Simultaneous Equations need algebraic skills to find the values of letters within two or more equations."
Given, The equations
[tex]2x + 3y = 10[/tex] ----------- eq 1
[tex]4x - y = -1[/tex] ------------ eq 2
multiplying eq 1 by 2
[tex]4x + 6y = 20[/tex] ----------- eq 3
now subtracting eq 3 from eq 2
we get, [tex]7y = 21[/tex]
y = 3 and x = 1/2
Hence, the values of x and y = 1/2, 3 respectively.
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