Solve using substitution. 2x-10y=16 -3x+2y=15 square square

To solve the system of equations using substitution, we first solve one equation for one variable and then substitute that expression into the other equation.

From the first equation, we can solve for $$x$$ in terms of $$y$$ :
$$2x - 10y = 16$$
$$2x = 10y + 16$$
$$x = 5y + 8$$

Now we substitute this expression for $$x$$ into the second equation:
$$-3x + 2y = 15$$
$$-3(5y + 8) + 2y = 15$$
$$-15y - 24 + 2y = 15$$
$$-13y - 24 = 15$$
$$-13y = 39$$
$$y = -3$$

Now that we have found $$y$$ , we can substitute it back into the expression for $$x$$ :
$$x = 5y + 8$$
$$x = 5(-3) + 8$$
$$x = -15 + 8$$
$$x = -7$$

Therefore, the solution to the system of equations is $$x = -7$$ and $$y = -3$$ .