Question

3×+4y=340
×+3y=180 resolver por método de sustitución​ ​

Answer 1

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Answer 2

Respuesta:

X = 60 , Y = 40

Explicación paso a paso:

$\begin{bmatrix}3x+4y=340\\ x+3y=180\end{bmatrix}\\\\\mathrm{Sustituir\:}x=\frac{340-4y}{3}\\\\\begin{bmatrix}\frac{340-4y}{3}+3y=180\end{bmatrix}\\\\\mathrm{Multiplicar\:ambos\:lados\:por\:}3\\\\\frac{340-4y}{3}\cdot \:3+3y\cdot \:3=180\cdot \:3\\\\340+5y=540\\\5y = 540 - 340\\\5y = 200\\\ y= 200/5\\\ y= 40\\\\Ahora\ reemplazamos\ para\ hallar\ x :\\\ x+3y = 180\\x + 3(40) = 180\\x+ 120 = 180\\x = 180 - 120\\x = 60$