Consider the the equations: Equation 1 is 5x - 2y - 4z = 3 and Equation 2 is 3x + 3y + 2z = -3. Eliminate z by copying Equation 1, multiplying Equation 2 by 2, and then adding the equations.

Question
Equations
asked 2021-01-24
Consider the the equations:
Equation 1 is 5x - 2y - 4z = 3
and
Equation 2 is 3x + 3y + 2z = -3.
Eliminate z by copying Equation 1, multiplying Equation 2 by 2, and then adding the equations.

Answers (1)

2021-01-25
Step 1: Given,
The equations 5x−2y−4z=3 and 3x+3y+2z=−3. We have to eliminate z from equation 1 and 2.
Step 2: Calculation
5x-2y-4z=3...(1)
3x+3y+2z=-3...(2)
Mult.(2)by 2, add(1)+(2),we get
5x-2y-4z=3
6x+6y+4z=-6
We get the equation
\(\displaystyle\Rightarrow{11}{x}+{4}{y}=-{3}\)
0

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