Question

3x+2y=1
x-5/4=x+2y

ayudaa​

Answer 1

Verified answer

MÉTODO DE SUSTITUCIÓN:

[tex]\begin{bmatrix}3x+2y=1\\ x-\frac{5}{4}=x+2y\end{bmatrix}[/tex]

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[tex]\mathrm{Sustituir\:}x=\frac{1-2y}{3}[/tex]

• [tex]\begin{bmatrix}\frac{1-2y}{3}-\frac{5}{4}=\frac{1-2y}{3}+2y\end{bmatrix}[/tex]

• [tex]\begin{bmatrix}\frac{1-2y}{3}-\frac{5}{4}=\frac{1+4y}{3}\end{bmatrix}[/tex]

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✅  [tex]\mathrm{Para\:}x=\frac{1-2y}{3}[/tex]

✅ [tex]\mathrm{Sustituir\:}y=-\frac{5}{8}[/tex]

[tex]x=\frac{1-2\left(-\frac{5}{8}\right)}{3}[/tex]

[tex]x=\frac{3}{4}[/tex]

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[tex]\mathrm{Las\:soluciones\:para\:el\:sistema\:de\:ecuaciones\:son:}[/tex]

RESPUESTA: [tex]x=\frac{3}{4},\:y=-\frac{5}{8}[/tex]