The _________ of a system of two linear equations in two variables is an ordered pair
solution
Is (3,4) a soultion of the given system
-2x+y=-2 4x-2y=3
-2(3)+4=-2 4(3)-2(4)=3
-6+4=-2 12-8=3
-2=-2 4=3
no
3x-y=4
Solve the equation
2x+3y=14
x-3y=-13
solve for both x and y
x=-4, y=3
x+3y=-2
x=-2-3y
Solve the equation for x and y
x=-5 y= 1
two variables x and y consists of two equations
system of two linear equations
Plot the points, then find the intersection point
x = 3, y = -4
2x+2y=6
-2x-3y=-9
Solve for x and y
x=0, y=3
2x+3y=7
3x+5y=1-
solve
(5,-1)
Plot the points on a graph, find the point of intersection of the graphs, Then check the soulution
(2,-2)
is the process of adding two algebraic equations so that one of the variables is eliminated
Linear combination
Plot the points, find the intersection point, Check the solution
x = 2, y = -2
2m-4n=16
m=6n
Solve for m and n
n=2, m=12
x-y=7
2x+y=5
solve
x=4, y=-3
Plot the points on a graph, Find the point of intersection of the graphs. Check the solution
(3, 5)
linear equations
3x-y=-4
-y=-4-3x
Solve for y
y=-2
x+2y=-11
3x-2y=-1
solve
x=-3,y=-4
Solve for both x and y
x = -3, y = -4
the process of adding two algebraic equations so that one of the variables is eliminated
linear combinations method
2a+b=0
6a+b=10
Solve for b
b=-5
4x-3y=10
x+2y=-14
solve
x=-2,y=-6
Solve for both x and y
x = -8, y = 5