Question

$x=5x-13$
$5x+2y=14$
$x=1$
$y=1$

Explanation:

Step1: Solve for $x$ from first equation

Start with $x = 5x - 13$. Subtract $5x$ from both sides:
$x - 5x = -13$
$-4x = -13$
Divide by $-4$:
$x = \frac{13}{4} = 3.25$

Step2: Solve for $y$ from second equation

Start with $5x + 2y = 14$. Substitute $x=\frac{13}{4}$:
$5\times\frac{13}{4} + 2y = 14$
$\frac{65}{4} + 2y = 14$
Convert 14 to $\frac{56}{4}$:
$2y = \frac{56}{4} - \frac{65}{4}$
$2y = -\frac{9}{4}$
Divide by 2:
$y = -\frac{9}{8} = -1.125$

Answer:

$x = \frac{13}{4}$ or $3.25$, $y = -\frac{9}{8}$ or $-1.125$