Resolver el siguiente sistema de ecuaciones. $$ \begin{array}{l}2.5 x-1.9 y=4.3 \ -0.5 x+1.8 y=3.4\end{array} $$

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Solve the system of equations $$ 2.5x-1.9y=4.3;-0.5x+1.8y=3.4 $$.
Solve the system of equations by following steps:
- step0: Solve using the substitution method:
  $$\left\{ \begin{array}{l}2.5x-1.9y=4.3\-0.5x+1.8y=3.4\end{array}ight.$$
- step1: Solve the equation:
  $$\left\{ \begin{array}{l}x=\frac{43}{25}+\frac{19}{25}y\-0.5x+1.8y=3.4\end{array}ight.$$
- step2: Substitute the value of $$x:$$
  $$-0.5\left(\frac{43}{25}+\frac{19}{25}yight)+1.8y=3.4$$
- step3: Simplify:
  $$-\frac{43}{50}+\frac{71}{50}y=3.4$$
- step4: Move the constant to the right side:
  $$\frac{71}{50}y=3.4+\frac{43}{50}$$
- step5: Add the numbers:
  $$\frac{71}{50}y=\frac{213}{50}$$
- step6: Multiply by the reciprocal:
  $$\frac{71}{50}y	imes \frac{50}{71}=\frac{213}{50}	imes \frac{50}{71}$$
- step7: Multiply:
  $$y=3$$
- step8: Substitute the value of $$y:$$
  $$x=\frac{43}{25}+\frac{19}{25}	imes 3$$
- step9: Calculate:
  $$x=4$$
- step10: Calculate:
  $$\left\{ \begin{array}{l}x=4\y=3\end{array}ight.$$
- step11: Check the solution:
  $$\left\{ \begin{array}{l}x=4\y=3\end{array}ight.$$
- step12: Rewrite:
  $$\left(x,yight) = \left(4,3ight)$$
La solución del sistema de ecuaciones es $$ (x,y) = (4,3) $$.
La solución es $$ x=4 $$ y $$ y=3 $$.

Resolver el siguiente sistema de ecuaciones.

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