SOLUTION: Solve the given system of linear equations for X: 4X + y= -11 and X + 2y= 6 Please show how you get the answer Thank you, Natasha

Question 549413: Solve the given system of linear equations for X:
4X + y= -11 and X + 2y= 6
Please show how you get the answer
Thank you,
Natasha
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the given system of linear equations for X:
4X + y = -11
X + 2y = 6
;
We can use elimination here, multiply the 1st equation by 2, subtract the 2nd equation
8X +2y = -22
X + 2y = 6
-------------subtraction eliminates y, find x
7x = -28
x = -28/7
x = -4
:
Find y using the 2nd equation, replace x with -4
-4 + 2y = 6
2y = 6 + 4
2y = 10
y = 10/2
y = 5
:
:
Check our solution of x=-4, y=5, using the 1st equation
4X + y = -11
4(-4) + 5 = -11
-16 + 5 = -11; confirms our solutions
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