Question

b x + y = -20 et 2x - 3y = 60
3 + 2xy = -90
2x² - 3yx - 60x
réponse

Explanation:

Step1: Define the system of equations

We have the system:

$$
LATEXBLOCK0
$$

Step2: Solve the first equation for \(x\)

From \(x + y = -20\), we get \(x = -20 - y\).

Step3: Substitute \(x\) into the second equation

Substitute \(x = -20 - y\) into \(2x - 3y = 60\):

$$ 2(-20 - y) - 3y = 60 $$

Step4: Expand and simplify

$$ -40 - 2y - 3y = 60 \\ -40 - 5y = 60 $$

Step5: Solve for \(y\)

Add 40 to both sides:

$$ -5y = 100 $$

Divide by -5:

$$ y = -20 $$

Step6: Solve for \(x\)

Substitute \(y = -20\) into \(x = -20 - y\):

$$ x = -20 - (-20) = 0 $$

Answer:

\(x = 0\), \(y = -20\)