To eliminate the variable "x" from the system of equations:
Step 1: Multiply the first equation by -1.
-1(3x + 2y - z) = -1(7)
-3x - 2y + z = -7
Step 2: Add the two equations together.
(-3x + y - 2z) + (-3x - 2y + z) = -14 + (-7)
-6x - y - z = -21
The eliminated equation is -6x - y - z = -21.
Add
3x + 2y - z = 7
-3x + y - 2z = -14
to eliminate
3 answers
Can you subtract the equations?
Apologies for the mistake. Yes, we can subtract the equations to eliminate "x".
The given equations are:
3x + 2y - z = 7 ...(Equation 1)
-3x + y - 2z = -14 ...(Equation 2)
To eliminate "x", we can subtract Equation 2 from Equation 1.
(Equation 1) - (Equation 2) gives:
3x - (-3x) + 2y - y - z - (-2z) = 7 - (-14)
This simplifies to:
6x + y + z = 21
So, subtracting the equations, we get the equation 6x + y + z = 21.
The given equations are:
3x + 2y - z = 7 ...(Equation 1)
-3x + y - 2z = -14 ...(Equation 2)
To eliminate "x", we can subtract Equation 2 from Equation 1.
(Equation 1) - (Equation 2) gives:
3x - (-3x) + 2y - y - z - (-2z) = 7 - (-14)
This simplifies to:
6x + y + z = 21
So, subtracting the equations, we get the equation 6x + y + z = 21.