Question

Dado o seguinte sistema responda qual par ordenado é solução desse sistema? 5x – 2y = 4 3x + 4y = 44

Answer 1

$\Large\boxed{\begin{array}{l}\begin{cases}\sf 5x-2y=4\\\sf 3x+4y=44\end{cases}\\\\\begin{cases}\sf 5x-2y=4\bullet(2)\\\sf 3x+4y=44\end{cases}\\\\+\underline{\begin{cases}\sf 10x-\backslash\!\!\!\!4\!y=8\\\sf 3x+\backslash\!\!\!4\!y=44\end{cases}}\\\sf 13x=52\\\sf x=\dfrac{52}{13}\\\\\sf x=4\\\sf 3x+4y=44\\\sf 3\cdot4+4y=44\\\sf 12+4y=44\\\sf 4y=44-12\\\sf 4y=32\\\sf y=\dfrac{32}{4}\\\\\sf y=8\\\sf S=\{4,8\}\end{array}}$