SOLUTION: Solve each system of equations by the elimination method. -5x+4y=14 -6x+8y=14 a.(7/8,7/2) b.(-7/8,-7/2) c.(-7/32,-7/8) d.(-77/8,21/2)

Algebra ->  Systems-of-equations -> SOLUTION: Solve each system of equations by the elimination method. -5x+4y=14 -6x+8y=14 a.(7/8,7/2) b.(-7/8,-7/2) c.(-7/32,-7/8) d.(-77/8,21/2)      Log On


   



Question 470825: Solve each system of equations by the elimination method.
-5x+4y=14
-6x+8y=14
a.(7/8,7/2)
b.(-7/8,-7/2)
c.(-7/32,-7/8)
d.(-77/8,21/2)

Answer by hinaahsan(5) About Me  (Show Source):
You can put this solution on YOUR website!
-5x+4y=14--> 1
-6x+8y=14-->2
using 1,
4y=14+5x
y=(14+5x)/4-->3
using value of y in 2
-6x + 8(14+5x)/4=14
-(24x+112+40x)/4 =14
-24x+112+40x= 4*14
-24x+112+40x=56
16x=56-112
16x=-56
x=-56/16
x=-7/2
using value of x in 3
y={14+5(-7/2)}/4
4y=28-35/2
8y=-7
y=-7/8
ans: (-7/8, -7/2)