Lös ekvationssystemet $$ \left\{\begin{array}{l}x+3 y=1 \ 3 x+2 y=-11\end{array} ight. $$ med valfri algebraisk metod.

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Lös ekvationssystemet $$ \left\{\begin{array}{l}x+3 y=1 \ 3 x+2 y=-11\end{array}ight. $$ med valfri algebraisk metod.

UpStudy AI · Accepted Answer

Solve the system of equations $$ x+3y=1;3x+2y=-11 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}x+3y=1\3x+2y=-11\end{array}ight.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}x=1-3y\3x+2y=-11\end{array}ight.$$
- step2: Substitute the value of $$x:$$
  $$3\left(1-3yight)+2y=-11$$
- step3: Simplify:
  $$3-7y=-11$$
- step4: Move the constant to the right side:
  $$-7y=-11-3$$
- step5: Subtract the numbers:
  $$-7y=-14$$
- step6: Change the signs:
  $$7y=14$$
- step7: Divide both sides:
  $$\frac{7y}{7}=\frac{14}{7}$$
- step8: Divide the numbers:
  $$y=2$$
- step9: Substitute the value of $$y:$$
  $$x=1-3	imes 2$$
- step10: Simplify:
  $$x=-5$$
- step11: Calculate:
  $$\left\{ \begin{array}{l}x=-5\y=2\end{array}ight.$$
- step12: Check the solution:
  $$\left\{ \begin{array}{l}x=-5\y=2\end{array}ight.$$
- step13: Rewrite:
  $$\left(x,yight) = \left(-5,2ight)$$
Ekvationssystemet löses till att $$ x = -5 $$ och $$ y = 2 $$.
Ekvationssystemet löses till att $$ x = -5 $$ och $$ y = 2 $$.

Lös ekvationssystemet med valfri algebraisk metod.

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