SOLUTION: Solve each system. 1. 10x+6y=0 -7x+2y=31 2. 7x+5y=18 -7x-9y=4 3. -3x+y=6 6x-2y=25

Question 508576: Solve each system.
1. 10x+6y=0
-7x+2y=31

2. 7x+5y=18
-7x-9y=4
3. -3x+y=6
6x-2y=25

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve each system.
1. 10x+6y=0
-7x+2y=31
Multiply the 2nd eqn by 3, then subtract.
10x +6y=0
-21x+6y=93
------------- Subtract
31x = 93
etc.
------------
2. 7x+5y=18
-7x-9y=4
-------------- Add them
===========================
------------
3. -3x+y=6
6x-2y=25
Multiply the 1st eqn by 2
3.-6x+2y=12
6x-2y=25
---------------- Add
0 = 37
That's not true, so the system is inconsistent.
--> no solution.
If you graph them, you get parallel lines, no intersection, no solution.

RELATED QUESTIONS
Solve by elimination: 1.8x + 11y= 20 5x - 11y= -59 2. 2x + 18y= -9 4x + 18y= -27 (answered by jim_thompson5910)

SOLVE STEP BY STEP THANK YOU:) 1) x+y=5 3x-y=7 2) 2x+y=3 -2x+5y=-9 3) 3x+5y=0 (answered by Alan3354)

Solve the following system of inequalities by graphing. draw a graph 5x - 4y ≥ -20 (answered by MathLover1)

Solve each system by substitution. Show your work. 1) a= 3b+1 5a-3b= 13 2) 4y=... (answered by Edwin McCravy)

-7x+y=-19 -2x+3y=-19 -7x-8y=9 -4x+9y=-22 5x+4y=-30 3x-9y=-18 -14=-20y-7x... (answered by solver91311)

Solve the system using the substitution method. Show all your steps. 1. x+2y=6... (answered by checkley79)

Solve the following systems of equations and state if any lines are parallel 1. y +... (answered by math-vortex)

Please help use Cramer's rule to solve the linear system. ( 3x-2y-z=3 x+2y-5z=-31 (answered by ewatrrr)

1. 3y=2y-18 2. 5y=4y+10 3. 2y+15=y 4. 4y-26=3y 5.... (answered by ReadingBoosters)