1. a graph that has two parallel lines across saying y = 1/2x + 3 and the other line is y + 1/2x - 1.
The directions say: state the solution of each system of equations. Help?
2007-02-11 04:51:59 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Ok two more question for help please:
Directions: solve each system of equations by graphing.
1. y = -x
2. y = x + 2
2007-02-11 04:58:42 · update #1
*Equations:
1. y = 1/2x + 3
2. y = 1/2x - 1
*Since both y-variables are isolated....
First: set both equations to equal each other.....
1/2x + 3 = 1/2x - 1
*Eliminate fractions - multiply the denominator with each term....
(2x)(1/2x)+(2x)(3)=(2x)(1/2x)-(2x)(1)
*Cross cancel "like" terms & combine the remaining terms....
1 + (2x)(3) = 1 - (2x)(1)
1 + 6x = 1 - 2x
Sec: combine the coefficients with the x-variable on one side (left) --- add "2x" with both sides (when you move a term to the opposite side, always use the opposite sign)....
1 + 6x +2x = 1 - 2x + 2x
1 + 6x +2x = 1
1 + 8x = 1
Third: subtract 1 from both sides....
1 - 1 + 8x = 1 - 1
8x = 1-1
8x = 0
*Isolate "x" on one side --- divide both terms by "8".....
8x/8 = 0/8
x = 0/8
x = 0
Fourth: replace "0" with the x-variable in the 1st equation (either equation will work).....
1. y = 1/2x + 3
y = 1/2(0) + 3
y = 1/0 + 3
y = undefined (a number can't be divide by "0")
There is no solution.
P.S. The lines/equations have the same slope (1/2), meaning they are parallel. Two lines that are parallel don't have a solution-they don't intersect at a point on the graph.
2007-02-11 05:01:32 · answer #1 · answered by ♪♥Annie♥♪ 6 · 0⤊ 1⤋
Two parallel lines do not have a solution.
A solution basically means a point of intersection.. If both lines were the same line, they would have an infinite number of intersections, Your lines do not intersect at all therefore, the answer is :
No solution exists.
Hope that helps!!
2007-02-11 12:57:03 · answer #2 · answered by Anonymous · 0⤊ 0⤋
y = 1/2x + 3
y = 1/2x - 1
the lines are parallel, because they have a same slope and parallel lines never intersect, therefor, there is no solution.
2007-02-11 12:55:07 · answer #3 · answered by 7 · 1⤊ 0⤋
Ya i am doing this in math to so if the lines do not intercept the there is no solution
2007-02-11 12:58:05 · answer #4 · answered by kimmy 2 · 0⤊ 0⤋