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What it means to be a solution to a linear system algebraically?
A linear system just means it's a line. A solution is just a point that is on that line. It means that the two coordinates of the point solve the equation that makes the line. Alternatively, it could mean there are 2 (or more) lines and the point is where they intersect; meaning its coordinates solve both (or all) equations that make the lines.
How does the bisection method work when solving nonlinear equations?
it works exactly the same as it does with linear equations, you don't need to do any differentiation or anything fancy with this method, just have to plug in values of x, so it shouldn't make a difference if the equation is linear or nonlinear.
When will be the linear equations a1x plus b1y plus c1 equals 0 and a2x plus b2y plus c2 equals 0 has unique solution?
When (the graph of the equations) the two lines intersect. The equations will tell you what the slopes of the lines are, just look at them. If they are different, then the equations have a unique solution..
What is subsituton method?
Its a method used to find out the common solution of a pair of linear equations in two variables. For it, just make the coefficients of any one term and if the coefficients are having same signs, subtract both and if they are having different signs, add them up.
How do you solve linear equations with a fractions G - plus 2 equals 8 3?
one way is you could get rid of the fraction by the multiplying everything denominator of the fraction and then just solving it regularly.
