## Related questions with answers

Question

Solve the system of linear equations.

$\begin{align*} x_1 - 2x_2 &= 0 \\ 6x_1+2x_2 &= 0 \\ \end{align*}$

Solutions

VerifiedSolution A

Solution B

Solution C

Answered 1 year ago

Step 1

1 of 4The following system of equations is given.

$\begin{align}x_1-2x_2&=0 \\ 6x_1+2x_2&=0 \end{align}$

The goal of the solution is to solve the system.

Step 1

1 of 2$x_1-2x_2=0~~~(1)$

$6x_1+2x_2=0~~~(2)$

$R_1+R_2\rightarrow R_2$

$7x_1=0~~~(3) \rightarrow x_1=0$

Back substitution: plug $x_1=0$ into $(1)$:

$0-2x_2=0\rightarrow x_2=0$

Step 1

1 of 4$x_1 - 2x_2 = 0 \longrightarrow x_1 = 2x_2 \rightarrow$ Substitute this equation into second equation.

$6x_1 + 2x_2 = 0 \longrightarrow 6(2x_2) + 2x_2 = 0$

Substitute, and then solve.

Easy peasy.

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