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Systems of linear equations are so important because they give you an easy way to do mass and complex mathematical calculations. For example:
x/2 + y/4 = 255,
3x - y/2 = 100.
The first step is to solve the first equation for y:
2x + y = 1020,
y = 1020 - 2x.
Substitute that value of y into the second equation and solve for x:
3x - (1020 - 2x)/2 = 100,
3x - 510 + x = 100,
4x = 610,
x = 152.5.
Finally, substitute that value of x into the first equation to get the solution for y:
152.5/2 + y/4 = 255,
y/4 = 178.75,
y = 715.
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What are linear equtions and simultanions equations?
Linear Equations are equations with variable with power 1 for eg: 5x + 7 = 0 Simultaneous Equations are two equations with more than one variable so that solving them simultaneously
How mathematics is related to electricity?
Electrical engineering uses many branches of mathematics including complex numbers, matrices and linear equations. To study machines needs dynamics and thermodynamics. Radio systems use the theory of electromagnetics that uses vector algebra and optionally tensor algebra. Many branches of electrical engineering use the theory of differential equations and functions of a complex variable. So if you are good at mathematics electricity gives plenty of scope.
What is 4-e equals 2e-8?
Well, well, well, look who's trying to play with equations. If we simplify this little gem, we get e = 4. So, there you have it, the solution to your mathematical mystery. Now go forth and conquer more equations, my dear.
How do you solve systems of linear equations by elimination with decimal coefficient?
I will give a simple example just to illustrate the idea, but all you have to do is multiply any of the equations by a constant to make them inversely additive values and add the equations. .2x-.5y = 10 .5x+.3y = 15 .2 = 1/5 and .5 = 1/2 so if I multiply the first equation by -5 and the second by 2, we get the system: -x+2.5y = -50 x+.6y = 30 (-x+2.5y = -50) + (x+.6y = 30) = (3.1y = -20) Solving for the variables, we get y = -6.452 and x = 33.871
What does solving a system of equations actually mean?
That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.That means to find values for all the variables involved, so that they satisfy ALL the equations in a system (= set) of equations.
