Question

elimination (level 2)
score: 0/2 penalty: 1 off
question
find the solution of the system of equations
2x + 2y = -10
6x + 8y = -48
answer attempt 1 out of 2
(□,□)
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Explanation:

Step1: Simplificar la primera ecuación

Dividimos la ecuación \(2x + 2y = -10\) por 2: \(x + y = -5\), luego despejamos \(x\): \(x = -5 - y\).

Step2: Sustituir \(x\) en la segunda ecuación

Sustituimos \(x = -5 - y\) en \(6x + 8y = -48\): \(6(-5 - y) + 8y = -48\).
Expandimos: \(-30 - 6y + 8y = -48\).
Combinamos términos: \(2y - 30 = -48\).
Sumamos 30 a ambos lados: \(2y = -18\).
Dividimos por 2: \(y = -9\).

Step3: Encontrar \(x\)

Sustituimos \(y = -9\) en \(x = -5 - y\): \(x = -5 - (-9) = -5 + 9 = 4\).

Answer:

\((4, -9)\)