SOLUTION: To Whomever can assist, Thank you! Now I'm supposed to choose either the substitution method or the elimination by addition method. 2x - y = 1 3x

Click here to see ALL problems on Linear-equations

Question 60137This question is from textbook Elementary and Intermediate Algebra
: To Whomever can assist, Thank you!
Now I'm supposed to choose either the substitution method or the elimination by addition method.
2x - y = 1
3x - 2y = -5 This question is from textbook Elementary and Intermediate Algebra

Found 2 solutions by funmath, checkley71:
Answer by funmath(2933) (Show Source):
You can put this solution on YOUR website!
To Whomever can assist, Thank you!
Now I'm supposed to choose either the substitution method or the elimination by addition method. Either way is cool for this one, I'll use elimination.
E1: 2x - y = 1
E2: 3x - 2y = -5
Multiply E1 by -2 and add E1+E2, the y's are elimiinated and you can salove for x:
E1: -2(2x-y)=-2(1)---> -4x+2y=-2
:
-4x+2y=-2
3x-2y=-5
_________
-x+0=-7
-x=-7
-(-x)=-(-7)
x=7
Substitute 7 in for x and solve for y in either equation.
2(7)-y=1
14-y=1
-14+14-y=1-14
-y=-13
-(-y)=-(-13)
y=13
The solution is: (x,y)=(7,13)
Happy Calculating!!!

Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
2X-Y=1
-Y=-2X+1
Y=2X-1 NOW SUBSTITUTE (2X-1) FOR Y IN EQUATION #2
3X-2(2X-1)=-5
3X-4X+2=-5
-X=-5-2
-X=-7
X=7
THEN (2*7)-Y=1
14-Y=1
-Y=-14+1
-Y=-13
Y=13
PROOF
3*7-2*13=-5
21-26=-5
-5=-5

SOLUTION: To Whomever can assist, Thank you! Now I'm supposed to choose either the substitution method or the elimination by addition method. 2x - y = 1 3x - 2y = -5