2X + 6Y = 12
3X + 9Y = 18
try elimination
- 3(2X + 6Y = 12)
2(3X + 9Y = 18)
- 6X - 18Y = - 36
6X + 18Y = 36
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I will say this system is dependent and an infinite number of solutions can be found.
well there are many equations actually.
Two. One in which C is acute and one where it is obtuse.
There are many linear equations that equal 91! For instance, 2x + 4 = 91 and 3x + 5 = 91 Too many equations.. The question needs revision!.
It depends on how I is defined.
I notice that the ratio of the y-coefficient to the x-coefficient is the same in both equations. I think that's enough to tell me that their graphs are parallel. So they don't intersect, and viewed as a pair of simultaneous equations, they have no solution.
Find values for each of the unknown variables (or at least as many as is possible for the system) that satisfy all the equations.
10.
well there are many equations actually.
You cannot solve this equation without some more information. The value of y depends upon the value of x, but they could take infinitely many different values. Maybe this is just one of a pair of simultaneous equations? If so, you need both equations to find values for x and y.
The equations are identical in value, ie the second is merely twice the first...
9x9 27x3 81x1
Two. One in which C is acute and one where it is obtuse.
1
Simultaneous equation is nothing: it cannot exist.A system of simultaneous equations is a set of 2 or more equations with a number of variables. A solution to the system is a set of values for the variables such that when the variables are replaced by these values, each one of the equations is true.The equations may be linear or of any mathematical form. There may by none, one or more - including infinitely many - solutions to a system of simultaneous equations.
Many equations can be plotted as a line or other curve in the x-y plane. If you have two equations and you plot the curve (or line) for each one. If the curves (or lines) intersect at one or more points, then the (x,y) coordinates for the intersection points will also be the x and y values which satisfy both equations to be true at the same time.
There could be a few values. 45 divided by 1 could work, and X=root 45 and Y=1 There are two variables, so two equations would be needed to determine the values. Otherwise, there are many solutions.
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.