SOLUTION: Solve each system by elimination. 1) 10x - 8y = 16 20x - y = 2 2) -2x + 5y = 29 -2x + 2y = 20

Algebra.Com
Question 1008285: Solve each system by elimination.
1) 10x - 8y = 16
20x - y = 2
2) -2x + 5y = 29
-2x + 2y = 20


Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve each system by elimination.
1) 10x - 8y = 16
20x - y = 2
---
Modify for elimination::
20x - 16y = 2*16
20x - y = 2
---
Subtract and solve for "y":
15y = -30
y = -2
---
Solve for "x"::
10x = 8y + 16
10x = -16 + 16
x = 0
-----------
2) -2x + 5y = 29
-2x + 2y = 20
----
Subract and solve for "y"::
3y = 9
y = 3
Solve for "x":
2x = 5y-29
2x = 15-29
2x = -14
x = -7
------------
Cheers,
Stan H.
------------
Answer by ikleyn(52794)   (Show Source): You can put this solution on YOUR website!
.
Solve each system by elimination.
1) 10x - 8y = 16
20x - y = 2
2) -2x + 5y = 29
-2x + 2y = 20
----------------------------------------- 
1) 
10x - 8y = 16  (1)
20x - y = 2    (2)

Multiply the equation (1) by 2 (both sides) and then distract it from (2). In this way you eliminate y 
and get one single equation for x:

-y - (-16)y = 2 - 32,

15y = -30,

y =  = -2.

Then find x from (2): 20x = y + 2 = -2 + 2 = 0, x = 0. 



2)
-2x + 5y = 29   (1)
-2x + 2y = 20   (2)

Distract (2) from (1) and do the rest yourself.


RELATED QUESTIONS

Solve by elimination: 1.8x + 11y= 20 5x - 11y= -59 2. 2x + 18y= -9 4x + 18y= -27 (answered by jim_thompson5910)
Use ELIMINATION to solve each SYSTEM!? 1.) 2x+y=41; 2x+5y=13 ____________________ (answered by ankor@dixie-net.com)
Solve the linear system by using elimination. 1/2x-3/2y=-29/2 ,... (answered by solver91311)
Solve by Elimination. x-y=2... (answered by ewatrrr)
1/2x - 3/2y = -29/2 1/3x - 3y = 33 Solve the linear system by using... (answered by ValorousDawn)
solve each system by the elimination method 1)3x+2y=10 2x+y=7 2)3x-2y=7 2x-y=8 (answered by jojo14344)
Solve the system by elimination. 1) -3x+y=7 4x-2y=3 2) 2x-3y=7 (answered by ewatrrr)
Solve the system using the substitution method. Show all your steps. 1. x+2y=6... (answered by checkley79)
Solve the system using substitution or elimination: 3x+2y= -12 2x+y= -7 and... (answered by checkley71)