Question

solve by equating coefficient x + 2y = 19 3x – 2y =4​

Answer 1

Resposta:

$y = \frac{53}{8}, x = \frac{23}{4}$

Explicação passo-a-passo:

$x + 2y = 19, x = 19 - 2y$

$3(19 - 2y) - 2y = 4 \Longleftrightarrow 57 - 6y - 2y = 4 \Longleftrightarrow 57 - 8y = 4 \Longleftrightarrow -8y = -53 \Longleftrightarrow 8y = 53 \Longleftrightarrow y = \frac{53}{8}$

$x + \frac{106}{8} = 19 \Longleftrightarrow x = 19 - \frac{106}{8} \Longleftrightarrow x = \frac{46}{8} \Longleftrightarrow x =\frac{23}{4}$