8 Solve the system of equations. $$ \left\{\begin{array}{l}2 x-15 y=6 \ x-6 y=-1\end{array} ight. $$

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8 Solve the system of equations. $$ \left\{\begin{array}{l}2 x-15 y=6 \ x-6 y=-1\end{array}ight. $$

UpStudy AI · Accepted Answer

Solve the system of equations $$ 2x-15y=6;x-6y=-1 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}2x-15y=6\x-6y=-1\end{array}ight.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}2x-15y=6\x=-1+6y\end{array}ight.$$
- step2: Substitute the value of $$x:$$
  $$2\left(-1+6yight)-15y=6$$
- step3: Simplify:
  $$-2-3y=6$$
- step4: Move the constant to the right side:
  $$-3y=6+2$$
- step5: Add the numbers:
  $$-3y=8$$
- step6: Change the signs:
  $$3y=-8$$
- step7: Divide both sides:
  $$\frac{3y}{3}=\frac{-8}{3}$$
- step8: Divide the numbers:
  $$y=-\frac{8}{3}$$
- step9: Substitute the value of $$y:$$
  $$x=-1+6\left(-\frac{8}{3}ight)$$
- step10: Calculate:
  $$x=-17$$
- step11: Calculate:
  $$\left\{ \begin{array}{l}x=-17\y=-\frac{8}{3}\end{array}ight.$$
- step12: Check the solution:
  $$\left\{ \begin{array}{l}x=-17\y=-\frac{8}{3}\end{array}ight.$$
- step13: Rewrite:
  $$\left(x,yight) = \left(-17,-\frac{8}{3}ight)$$
The solution to the system of equations is $$ (x,y) = (-17,-\frac{8}{3}) $$ or $$ (x,y) = (-17,-2.6) $$.
The solution to the system of equations is $$ x = -17 $$ and $$ y = -\frac{8}{3} $$ or $$ y = -2.6 $$.

8 Solve the system of equations.

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