Can you help me with some Algebra problems?
1. Graph the linear system and tell how many solutions it has.
Find x and y by using algebraic method.
Find x, y, and z.
Please Help THANKS!!
- momLv 71 decade agoFavorite Answer
For graphing, I like to let first x then y =0, and find the corresponding point. If it's a fraction, I like to use the slope-intercept method.
1. second one, x=0,y=-3 and y=0, x=3
first one, y=2x-5, x=0, y=-5 and pick a value for x, find the corresponding y OR start at the intercept and go up 2, to the right 1
2. x=0, y=1, now let x=any number , say 3, y= -8
second one; x=0, y=-1, and for the second point, solve for y (this might be easier to do for all the equations)
-3y=-2x +3. so y= 2/3 x -1
pick an x value that is divisible by 2 so you won't have fractions. Let x=3, y= 1
3. y=-3x+1 x=0,y=1 and x=1. y=-2
the second is also y=-3x + 1 so both equations have the same graph
4. #1 times 3 , #2 times 2, then add
put in one equation and solve for y
5. #1 times 3, then add
0=-30 is a false so there is no solution and the lines are parallel
6. Same here
7. rewrite putting in the milling letters with a zero coefficient
-3x + 4y + 0z = -6
5x +0y -3z = -22
0x +3y +2z = -1
#1 times 5, #2 times 3 and add
-15x +20y +0z = -30
15x +0y -9z = -66
20y -9z = -96
3y + 2z = -1 mult this by 9 and the one above it by 2, add
40y -18z =-192
27y +18z = -9
67y = -201
y= - 3 sub this in 3y + 2z = -1,
-9 +2z = -1
2z = 8
z=4 sub this in 5x - 3z =-22
5x - 12 = -22
5x = -10
(-2, -3, 4)
check in -3x + 4y = -6
6 + 12 = -6. It works
- Anonymous1 decade ago
well the graphing i can't help with b/c i dont have any graph paper but mostly it would either have 1 solution no solution or infinitely many solutions
the first is infinitely many
the second one has no solution
the third is infinitely many because 0=0
no help on the fourth sorry i havent gotten there yet but please vote best answer
- ?Lv 41 decade ago
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