#### Answer

x = - $\frac{7}{3}$
y = - $\frac{44}{3}$

#### Work Step by Step

y=5x-3
y=8x+4
Substitude y for 5x - 3 to the second equation.
5x - 3 = 8x + 4
5x - 3 + 3 = 8x + 4 + 3 add 3 to the both sides
5x = 8x + 7 simplify
5x - 8x = 8x + 7 - 8x
- 3x = 7 simplify
$\frac{ - 3x}{-3}$ = $\frac{7}{-3}$ divide by -3
x = - $\frac{7}{3}$
Substitude x = - $\frac{7}{3}$ to the first equation
y = 5 $\times($ - $\frac{7}{3}$ ) - 3
y = - $\frac{35}{3}$ - $\frac{9}{3}$
y = - $\frac{44}{3}$