## Related questions with answers

Solve the system of linear equations.

$\begin{align*} 0.05x_1 - 0.03x_2 &= 0.21 \\ 0.07x_1+0.02x_2 &= 0.17 \\ \end{align*}$

Solutions

VerifiedThe following system of equations is given.

$\begin{align}0.05x_1-0.03x_2=0.21 \\ 0.07x_1+0.02x_2=0.17 \end{align}$

The goal is to solve the system.

$0.05x_1-0.03x_2=0.21~~~~(1)$

$0.07x_1+0.02x_2=0.17~~~~(2)$

$100R_1\rightarrow R_1$ and $100R_2\rightarrow R_2$

$5x_1-3x_2=21~~~~(3)$

$7x_1+2x_2=17~~~~(4)$

$2R_1\rightarrow R_1$ and $3R_2\rightarrow R_2$

$10x_1-6x_2=42~~~(5)$

$21x_1+6x_2=51~~~~(6)$

$R_1+R_2\rightarrow R_2$

$10x_1-6x_2=42~~~~(5)$

$31x_1=93~~~~(7)$

From $(7)$: $x_1=3$, plug this value into $(5)$:

$10(3)-6x_2=42\rightarrow x_2=-2$

$.05x_1 - .03x_2 = .21$

$.07x_1 + .02x_2 = .17$

Solve for a variable in terms of another.

Let's solve for $x_1$.

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