SOLUTION: What is the solution of the system? Solve the system by elimination .3x-.2y=4 .5x+.5y=-15/19

Algebra ->  Expressions-with-variables -> SOLUTION: What is the solution of the system? Solve the system by elimination .3x-.2y=4 .5x+.5y=-15/19      Log On


   

Question 414128: What is the solution of the system? Solve the system by elimination
.3x-.2y=4
.5x+.5y=-15/19
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
(1) .3x+-+.2y+=+4
(2) .5x+%2B+.5y+=+-15%2F19
Multiply both sides of (1) by 10
Multiply both sides of (2) by 6
(1) 3x+-+2y+=+44
(2) 3x+%2B+3y+=+-90%2F19
Subtract (2) from (1)
(1) 3x+-+2y+=+44
(2) -3x+-+3y+=+90%2F19
-5y+=+836%2F19+%2B+90%2F19
-5y+=+926%2F19
y+=+-+926%2F95
and
(1) 3x+-+2%2A%28-926%2F95%29+=+44
(1) 3x+%2B+1852%2F95+=+44
(1) 3x+=+4180%2F95+-+1852%2F95
(1) 3x+=+2328%2F95
x+=+776%2F95
check:
(2) .5%2A%28776%2F95%29+%2B+.5%28-926%2F95%29+=+-15%2F19
(2) 388%2F95+-+463%2F95+=+-75%2F95
(2) -75%2F95+=+-75%2F95
OK