Question

Ecuación con método de igualación
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Answer 1

Explicación paso a paso:

$2x + 3y = 2 \\ - 4x + 12y = 1$

$2x + 3y = 2 \\ \\ x = \frac{2 - 3y}{2} \\ \\ - 4x + 12y = 1 \\ \\ x = - \frac{1 - 12y}{4}$

$2x + 3( \frac{5}{18} ) = 2 \\ \\ 2x + \frac{15}{18} = 2 \\ \\ 2x = 2 - \frac{15}{18} \\ \\ 2x = \frac{36 - 15}{2} \\ \\ 2x = \frac{21}{2} \\ \\ x = \frac{21}{4}$

$\frac{2 - 3y}{2} = \frac{ - 1 + 12y}{4} \\ 4(2 - 3y) = 2( - 1 + 12y) \\ 8 - 12y = - 2 + 24y \\ - 12y - 24y = - 2 - 8 \\ - 36y = - 10 \\ y = \frac{ - 10}{ - 36} \\ \\ y = \frac{5}{18}</strong><strong>\</strong><strong>\</strong><strong> </strong><strong> </strong><strong>\</strong><strong>\</strong><strong>x</strong><strong>=</strong><strong>\</strong><strong>frac</strong><strong>{</strong><strong>21</strong><strong>}</strong><strong>{</strong><strong>4</strong><strong>}</strong><strong> </strong><strong>\</strong><strong>\</strong><strong> </strong><strong> </strong><strong>\</strong><strong>\</strong><strong> </strong><strong> </strong><strong>y</strong><strong>=</strong><strong> </strong><strong>\</strong><strong>frac</strong><strong>{</strong><strong>5</strong><strong>}</strong><strong>{</strong><strong>18</strong><strong>}</strong><strong>$