# 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 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. 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)
5x-2y-4z=3
6x+6y+4z=-6
We get the equation
$$\displaystyle\Rightarrow{11}{x}+{4}{y}=-{3}$$

### Relevant Questions Fill in the bla
so the resulting statement is true.
when solving
$$3x^2+2y^2=35$$
$$4x^2+3y^2=48$$
by the addition method, we can eliminate $$x^2$$ by the multiplying the first equation by -4 and the second equation by __________ and then adding the equations Fill in the bla
so the resulting statement is true
when solving
4x,-,3y=15
3x-2y=10
by the addition method we can eliminate y by multiplying the first equation by 2 and the second equation by ______, and then adding the equations Fill in the blank/s: When solving $$3x^2 + 2y^2 = 35, 4x^2 + 3y^2 = 48$$ by the addition method, we can eliminate x2 by multiplying the first equation by -4 and the second equation by _________ and then adding the equations. Use Gaussian elimination to find the complete solution to the system of given equations, or show that none exists.
$$\displaystyle{\left\lbrace\begin{array}{c} {5}{x}+{8}{y}-{6}{z}={14}\\{3}{x}+{4}{y}-{2}{z}={8}\\{x}+{2}{y}-{2}{z}={3}\end{array}\right.}$$ Use Cramer’s Rule to solve (if possible) the system of linear equations.
4x-y-z=1
2x+2y+3z=10
5x-2y-2z=-1 Write the augmented matrix for the system of linear equations:
$$\displaystyle{\left\lbrace\begin{array}{c} {2}{y}-{z}={7}\\{x}+{2}{y}+{z}={17}\\{2}{x}-{3}{y}+{2}{z}=-{1}\end{array}\right.}$$ Use Gaussian elimination to find the complete solution to the system of given equations, or show that none exists.
$$\displaystyle{\left\lbrace\begin{array}{c} {2}{x}-{4}{y}+{z}={3}\\{x}-{3}{y}+{z}={5}\\{3}{x}-{7}{y}+{2}{z}={12}\end{array}\right.}$$ Consider the following system of llinear equations.
$$\displaystyle\frac{{1}}{{3}}{x}+{y}=\frac{{5}}{{4}}$$
$$\displaystyle\frac{{2}}{{3}}{x}-\frac{{4}}{{3}}{y}=\frac{{5}}{{3}}$$
Part A: $$\displaystyle\frac{{{W}\hat{\propto}{e}{r}{t}{y}}}{{\propto{e}{r}{t}{i}{e}{s}}}$$ can be used to write an equivalent system?
Part B: Write an equivalent system and use elimination method to solve for x and y.  