SOLUTION: 3x + y = 2 and 2x-y=3 - Algebra Homework Help You can put this solution on YOUR website! Given the two equations: 3x + y = 2 2x - y = 3 This pair of equations is "nicely" arranged for solving by variable elimination because one of the terms in the top equation [that term is +y] is equal but with the opposite sign to the corresponding term in the bottom equation [that term is -y] If you add these two equations vertically, the y-column
SOLUTION: How many solutions does the following system have: 6x - 3y . . . Question 400801: How many solutions does the following system have: 6x - 3y = 9 2x - y = 3 Explain how to determine the number of solutions without solving the system Then apply elimination, and interpret the resulting equation Answer by checkley79 (3341) (Show Source):
SOLUTION: Graph y=1 2x-3 - Algebra Homework Help Solved by pluggable solver: Graphing Linear Equations In order to graph we only need to plug in two points to draw the line So lets plug in some points Plug in x=-8 Multiply Add Reduce So here's one point (-8,-7) Now lets find another point Plug in x=-6 Multiply Add Reduce So here's another point (-6,-6) Add this to our graph Now draw a line through these points So this is the graph of
SOLUTION: How do you graph 2x+y=3 and 4x+2y=6 You can put this solution on YOUR website! Reformat both equations to slope-intercept form: y=mx+b Determine two points on each line Draw the two lines 2x + y = 3 y = -2x + 3 (x=0, y= 3) (x=5, y=-7) 4x + 2y = 6 is 2x + y = 3 which is the same line
SOLUTION: Solve the system: x + y + z = 3, 2x y + 3z = 3, x - 2y + 3z = 0 You can put this solution on YOUR website! x + y + z = 3, 2x y + 3z = 3, x - 2y + 3z = 0 x+y+z=3 2x-y+3z=3 add 3x+4z=6 ------------- 2x+2y+2z=6, double first x-2y+3z=0 3x+5z=6 subtract -z=0 z=0 x=2 y must be 1 (2, 1, 0) Can be done with matrices, but eliminating one variable twice makes it two simultaneous equations and can be done that way, too