2.5 points AutColAlg8 6.2.502 XPMI.SA that must be completed sequentially. If yo
ID: 3185354 • Letter: 2
Question
2.5 points AutColAlg8 6.2.502 XPMI.SA that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will lnot My Notes Ask Your Teache be able to come back to the skipped part Solve the system of equations 2x 5y3z56 Step 1 First number the system of equations. 2x- Sy3z- 56(1) 3x 2y-Z 6 (2) x-3y-4x" 2 (3) Golve the system using the elimination method First, eliminate x from Equation (2) by multiplying Equation (3) by-3 and then adding it to Equation (2) 3x+2y-z- 3x+9y+12z 11y + 11zExplanation / Answer
2x - 5y + 3z = -56
3x + 2y - z = 6
x - 3y - 4z = 2
eliminating x by multiplying equation 3 by -3
-3x + 9y + 12z = -6
3x + 2y - z = 6
-------------------------
11y + 11z = 0
y + z = 0 -------------- (4)
multiplying equation 1 by -3 and equation 2 by 2
-6x + 15y - 9y = 168
6x + 4y - 2z = 12
--------------------------
19y - 11z = 180 ------------- (5)
multiplying equation 4 by 11 to eliminate z
11y + 11z = 0
19y -11z = 180
--------------------
30y = 180
y = 6
z = -6
x = 3y + 4z + 2
x = 3(6) + 4(-6)
x = - 4
solution is
( x, y , z ) = ( - 4 , 6 , - 6 )
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.