SOLUTION: how do i find the value of x and y when given these two equations: 2x+3y=1 and 4x-2y=10

Algebra ->  Linear-equations -> SOLUTION: how do i find the value of x and y when given these two equations: 2x+3y=1 and 4x-2y=10      Log On


   

Question 85203: how do i find the value of x and y when given these two equations:
2x+3y=1
and
4x-2y=10
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
WITH 2 EQUATIONS & 2 UNKNOWNS YOU CAN SOLVE USING ANY 1 OF THE FOLLOWING -ADD, SUBTRACT OR ELIMINATION.
HERE WE'LL USE SUBTRACTION AFTER WE MULTIPLY THE FIRST EQUATION BY 2.
4X+6Y=2 NOW WE SUBTRACT THE SECOND EQUATION THUS:
-(4X-2Y=10)
------------------
8Y=-8
Y=-8/8
Y=-1 ANSWER. NOW SUBSTITUTE -1 FOR Y & SOLVE FOR X THUS:
2X+3*-1=1
2X-3=1
2X=1+3
2X=4
X=4/2
X=2 ANSWER.
PROOF
4*2-2*-1=10
8+2=10
10=10