Q: What graph could be used to find the solution of the system of equations y equals 2x plus 6 and y equals x2 plus 4x plus 3?

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you didn't put any equations, but the answer probably begins with y= (x-4)^2+1

This is not true. Squaring any number gives only one solution. (-4)^2 will always be 16. It will never be anything else.Radical equations must be checked because squaring both sides can give you two completely different solutions. If you don't check it, you could end up with an incorrect answer. See this website for more information -See related links for more information.This is not true. Squaring any number gives only one solution. (-4)^2 will always be 16. It will never be anything else.

You could try y = 1/sin(x) but I do not see how that helps.

If you happened to know impulsive differential equations and there was an outbreak of swine flu, bird flu, zombie bumblebees, etc., and there was a method to treat them (and you knew about it), then you *could* tell how likely it is that the treatment would be effective, and how long that would take. That could affect your stock portfolio, or whether or not you want to leave the house or answer the door because it's worth quarantining yourself away from disease... which could also just make you look like a crazy person because even if *you* can tell using impulsive differential equations that we're all doomed, your neighbors probably don't.

A pro for solving equations through graphing can allow one to visualize problems which can allow one to make better sense to the problem. However, fractions, and decimals can be very difficult to plot accurately. Furthermore, solutions could fall outside of the boundaries of a graph making them impossible to see with a graph. A pro for solving equations through either the methods of substitution and elimination allow one to achieve an exact answer regardless of fraction, decimal, or integer. However, by using these methods one will have a more difficult time with visualization without the use of a graph.

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No. There could be no solution - no values for x, y, and z so that the 3 equations are true.

One way would be to graph the two equations: the parabola y = xÂ² + 4x + 3, and the straight line y = 2x + 6. The two points where the straight line intersects the parabola are the solutions. The 2 solution points are (1,8) and (-3,0)

There is no special name. Two totally unrelated equations could have the same solution(s).

One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.

It depends on the equation. It could have one, it could have an infinite number.

An equation has the 'equals' sign ( = ) in it. An expression hasn't.

If it is a linear system, then it could have either 1 solution, no solutions, or infinite solutions. To understand this, think of two lines (consider a plane which is just 2 dimensional - this represents 2 variables and 2 equations, but the idea can be extended to more dimensions).If the 2 lines intersect at a point, then that point represents a solution. If the lines are parallel, then they never intersect, and there is no solution. If the equations are such that they are just different ways of describing the same line, then they intersect at every point, so there are infinite solutions. If you have more than 2 lines then maybe some of them will intersect, but this is not a solution for the whole system. If all lines intersect at a single point, then that is the single solution for the whole system.If you have equations that describe something other than a straight line, then it's possible that they may intersect in more than one point.

Yes

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.

Answer by Hilmarz for a very similar question: When talking about a "system of equations", you would normally expect to have two or more equations. It is quite common to have as many equations as you have variables, so in this case you should have two equations. Pricen2: given that there is no second equation with which to solve the original equation the values of x and y could be any of great number of values. If you knew the value of x then you would use y=3-x to find the value of y If you knew the vlaue of y then you would use x=3-y to find the value of x

n-5 is an expression, it cannot be a solution. Furthermore, there are infinitely many possible equations for which n = 5 could be a solution - even with the added requirements of the question.

Graphical method sample problem: Find the solution to the system of equations: 2x + 3y = 12 x - y = 3 Analytical method sample problem: Solve the system of equations using substitution method: 3x + 2y = 11 4x - 5y = -7