Respuesta :
Respuesta:
To solve the system of equations:
1. 3x - 2y = -2
2. 5x + 8y = -60
You can use either the substitution method or the elimination method. Let's use the elimination method here.
First, let's multiply the first equation by 4 to eliminate y:
1. \( 3x - 2y = -2 \) (Original first equation)
2. \( 4(3x - 2y) = 4(-2) \) (Multiplying the first equation by 4)
3. \( 12x - 8y = -8 \)
Now, let's rewrite the second equation:
4. \( 5x + 8y = -60 \)
Now, let's add equations 3 and 4 together to eliminate y:
\( (12x - 8y) + (5x + 8y) = -8 + (-60) \)
\( 12x - 8y + 5x + 8y = -8 - 60 \)
\( 17x = -68 \)
Now, divide both sides by 17:
\( x = -68 / 17 \)
\( x = -4 \)
Now, substitute \( x = -4 \) into the first equation to find y:
\( 3(-4) - 2y = -2 \)
\( -12 - 2y = -2 \)
Add 12 to both sides:
\( -2y = -2 + 12 \)
\( -2y = 10 \)
Now, divide both sides by -2:
\( y = 10 / -2 \)
\( y = -5 \)
So, the solution to the system of equations is \( x = -4 \) and \( y = -5 \).
Explicación:
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