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# system

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Solve the linear system of equations

x - 2y + 3z = 2

2x - 3y + 8z = 7

3x - 4y + 13z = 8

Sep 5, 2020

#1
+12448
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The equation system has no solution.

But if it were called that, there would be a solution.

Sep 5, 2020
edited by Omi67  Sep 5, 2020
edited by Omi67  Sep 5, 2020
#2
+10147
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Solve the linear system of equations

x - 2y + 3z = 2

2x - 3y + 8z = 7

3x - 4y + 13z = 8

Hello Guest!

Equation method

I    $$x - 2y + 3z = 2\ |\ Change\ of\ sign\ when\ changing\ page\\ x=2+2y-3z$$

II    $$2x - 3y + 8z = 7\ |\ Change\ of\ sign\ when\ changing\ page\\ 2x=7+3y-8z\ |\ divided\ on\ both\ sides\ by\ 2$$

$$x=3.5+1.5y-4z$$

III  $$3x - 4y + 13z = 8\ |\ change\ of\ sign\ when\ changing\ page\\ 3x=8+4y-13z\ |\ divided\ on\ both\ sides\ by\ 3$$

$$x=\frac{8}{3}+\frac{4}{3}y-\frac{13}{3}z$$

I = II    $$2+2y-3z=3.5+1.5y-4z\ |\ change\ of\ sign\ when\ changing\ page\\ z=1.5-0.5y$$

II = III  $$3.5+1.5y-4z=\frac{8}{3}+\frac{4}{3}y-\frac{13}{3}z$$

to be continued

!

Sep 5, 2020