SOLUTION: What does it mean, both algebraically and graphically, when an ordered pair (x,y) is a solution to a system of two linear equations?
Algebra.Com
Question 210732: What does it mean, both algebraically and graphically, when an ordered pair (x,y) is a solution to a system of two linear equations?
Found 2 solutions by Earlsdon, vleith:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Algebraically: From the solution (x, y), both the x-value and and the y-value must satisfy both linear equations.
Graphically: The two lines on the graph of the two linear equations must intersect at the point (x, y).
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
algebraically, it means that point is a solution to each equation
graphically, the point is the intersection of the two lines (assuming the lines are not 'the same line' or parallel lines, then they only intersect at a single point)
RELATED QUESTIONS
algebraically an ordered pair is a solution to a system of two linear inequalities if and (answered by MathLover1)
What does it mean if your solution is a complex number? Explain what a complex solution... (answered by richard1234)
When solving a system of 2 linear equations, you end up with x = 1 and y = -3.... (answered by josgarithmetic)
How can you tell if an ordered pair is the solution to a linear equation with two... (answered by solver91311)
what does it mean for an ordered pair to be a solution to an equation (answered by josgarithmetic)
Solve the system of equations graphically. If the system does not have a single ordered... (answered by ikleyn)
which ordered pair is a solution of the linear system
x+2y=-8 and -4x+y=5 (answered by josgarithmetic)
i don't understand what to do with these two equations x+y=-1 and 2x-y=7 the directions... (answered by checkley75)
decide whether an ordered pair is a solution of a linear system
(-5,-3)
4x+y=-23... (answered by Alan3354,Cromlix)