SOLUTION: -7x + y = -19 -2x + 3y = -19 Elimination method Can you show work please. Having hard time. Thank you.

Question 1034462: -7x + y = -19
-2x + 3y = -19
Elimination method
Can you show work please. Having hard time. Thank you.
Found 3 solutions by ikleyn, Alan3354, macston:
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
We are here not for doing your work for you (or instead of you).

We are here to teach you.

And this technique was just shown to you in the preceding posts today.

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
-7x + y = -19
-2x + 3y = -19
Elimination method
===================
-21x +3y = -57 (1st eqn times 3)
-2x + 3y = -19
----------------------- Subtract
-19x = -38
x = 2
------------
-7x + y = -19
-14 + y = -19
y = -5

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.
-7x+y=-19 . Multiply by 3
-21x+3y=-57
-2x+3y=-19 . Subtract this from above (Eliminate 3y):
.
-19x=-38
x=2
.
Substitute x=2 in Equation 1:
-7x+y=-19
-7(2)+y=-19
-14+y=-19
y=5
.
CHECK (use Equation 2):
With x=2 and y=-5:
.
-2x+3y=-19
-2(2)+3(-5)=-19
-4+(-15)=-19
-19=-19
.
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