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2. $-5x - 2y = -13$ $y = 2x + 11$

Question

  1. $-5x - 2y = -13$

$y = 2x + 11$

Explanation:

Step1: Substitute $y$ into first equation

$-5x - 2(2x + 11) = -13$

Step2: Expand and simplify left side

$-5x - 4x - 22 = -13$
$-9x - 22 = -13$

Step3: Isolate $x$ term

$-9x = -13 + 22$
$-9x = 9$

Step4: Solve for $x$

$x = \frac{9}{-9} = -1$

Step5: Substitute $x$ into $y$ equation

$y = 2(-1) + 11$

Step6: Calculate final $y$ value

$y = -2 + 11 = 9$

Answer:

$x=-1$, $y=9$