Question

$$-5x + 4y = 3$$
$$x = 2y - 15$$
$x = \square$
$y = \square$
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Explanation:

Step1: Substitute x into first equation

Substitute $x=2y-15$ into $-5x+4y=3$:
$$-5(2y-15)+4y=3$$

Step2: Expand and simplify the equation

Distribute -5 and combine like terms:
$$-10y+75+4y=3$$
$$-6y+75=3$$

Step3: Isolate the y-term

Subtract 75 from both sides:
$$-6y=3-75$$
$$-6y=-72$$

Step4: Solve for y

Divide both sides by -6:
$$y=\frac{-72}{-6}=12$$

Step5: Solve for x using y=12

Substitute y=12 into $x=2y-15$:
$$x=2(12)-15=24-15=9$$

Answer:

$x = 9$
$y = 12$