0
What is any ordered pair that satisfies all the equations in a system?
Wiki User
∙ 11y ago
8
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
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). This means that if an ordered pair is a solution to a system of equations, the x of that ordered pair returns the same y for all equations in the system. Graphically, this means that all equations in the system intersect at that point. This makes sense because an x value returns the same y value at that ordered pair, meaning all equations would have the same value at the x-coordinate of the ordered pair. The ordered pair specifies an intersection point of the equations.
If the ordered pair (3-2) satisfies one of the two linear equations in a system how can you tell whether the point satisfies the other equation of the system?
Substitute the values for the two variables in the second equation. If the resulting equation is true then the point satisfies the second equation and if not, it does not.
How is a system of 2 linear equations have no solution?
The pair of equations: x + y = 1 and x + y = 3 have no solution. If any ordered pair (x,y) satisfies the first equation it cannot satisfy the second, and conversely. The two equations are said to be inconsistent.
Use the substitution method to solve the system of equations Enter your answer as an ordered pair?
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
Use the matrix tool to solve the system of equations Enter the answer as an ordered pair?
3x-8y=-1 -2x+6y=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). This means that if an ordered pair is a solution to a system of equations, the x of that ordered pair returns the same y for all equations in the system. Graphically, this means that all equations in the system intersect at that point. This makes sense because an x value returns the same y value at that ordered pair, meaning all equations would have the same value at the x-coordinate of the ordered pair. The ordered pair specifies an intersection point of the equations.
How can you determine if the given ordered pair is a solution to the system of equations?
Plug your ordered pair into both of your equations to see if you get they work.
If the ordered pair (3-2) satisfies one of the two linear equations in a system how can you tell whether the point satisfies the other equation of the system?
Substitute the values for the two variables in the second equation. If the resulting equation is true then the point satisfies the second equation and if not, it does not.
How is a system of 2 linear equations have no solution?
The pair of equations: x + y = 1 and x + y = 3 have no solution. If any ordered pair (x,y) satisfies the first equation it cannot satisfy the second, and conversely. The two equations are said to be inconsistent.
When does A system of two linear inequalities have a solution?
When there is an ordered pair that satisfies both inequalities.
What is an ordered pair that makes all equations in a system true?
That would be the "solution" to the set of equations.
Solve the system of equations Enter your answer as an ordered pair?
with ur partner
What is a solution to a system?
an ordered pair that makes both equations true
Describe a consistent independent system of linear equations?
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
Determine if the ordered pair y3x 5 yx 9 211 isa solution to the system of equations?
Tell whether the ordered pair (5, -5) is a solution of the system
Use the substitution method to solve the system of equations Enter your answer as an ordered pair?
Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1
How do we use substituion to solve a system of equations?
Write your answer as an ordered pair. y = -3 + 5x 3x - 8y = 24
