What is the ordered pair that is the solution to these equations 3x - 2y equals 8 2x plus 5y equals -1?
What does it mean both algebraically and graphically when an ordered pair is a solution to a system of two linear equations?
If an ordered pair is a solution to a system of linear equations, then algebraically it returns the same values when substituted appropriately into the x and y variables in each equation. For a very basic example: (0,0) satisfies the linear system of equations given by y=x and y=-2x By substituting in x=0 into both equations, the following is obtained: y=(0) and y=-2(0)=0 x=0 returns y=0 for both equations, which satisfies the ordered pair (0,0)…
What is the system of equations and enter the solution as an ordered pair 4x 7y equals 47 5x-4y equals -5?
-x+y=12 is the equation of a line and since there are infinitely many points on the line and each point is represented by an ordered pair, we have infinitely many solutions. If we take x as 0, then y must be 12 so (0,12) is one ordered pair that is a solution to the equation. Zero is often a nice number to pick since it makes the calculation a bit easier.
The equation 2x-5y=-1 has a graph that is a line. Every point on that line is an ordered pair that is a solution to the equation. So pick any real number x and plug it in. You will find a y and that pair (x,y) is an ordered pair that is a solution to this equation. For example, let x=0 Then we have -5y=-1so y=1/5 The ordered pair (0, 1/5) is a point on the…
A pair of simultaneous equations in two unknowns which are inconsistent - in the sense that there is no solution that simultaneously satisfies both equations. Graphically, the equations are those of two parallel lines (slope = 2). Since, by definition, they cannot meet there is no solution to the system.
Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals". There appear to be two equations, but no ordered pair.
Is the system of equations 3x-6y equals 12 and 2x-4y equals 3 dependent consistent inconsistent or independent?
The system is inconsistent because there is no solution, i.e., no ordered pair, that satisfies both equations. You can see that this will be the case by seeing that their graphs have the same slope (2) but different y-intercepts (2 and 3/4 respectively). So the lines are parallel and will not intersect.
What value of y would make the ordered pair a solution of the equation 4x and minus 2y 24 Given the ordered pair (3 y)?
This is an equation of a straight line. A solution for two unknowns requires two (independent) equations; there is only one here. Every point that is on that line is a solution to the equation. So you can let x be any real number and find a corresponding y. This ordered pair (x,y) will be a solution to the equation as well as a point on the graph of the line.
I have a hunch that this was originally a multiple-choice question, and you haven't given us the list of choices along with the question. There are an infinite number of ordered pairs that solve this equation. Go back to the list under the question, find the ordered pair where the 'y' number is 2 more than the 'x' number, and that's your solution.
Substitute the value for y given by the second equation into the first equation to result in 3x - 15 = x2 - x -20. Subtract (3x - 15) from both sides and exchange sides to yield x2 - 4x - 5 = 0. This can be factored into (x - 5)(x + 1) = 0, which is true when x equals either 5 or -1. If x = 5, y = 0 and if…