Mathematics

Problem

Lines

a

and

b

are parallel and are intersected by a transversal. At the intersection with line

a

, an angle measures

(7y-9)^{\circ}

. The corresponding angle at the intersection with line

b

measures

(4x+3y)^{\circ}

. The consecutive interior angle on the same side of the transversal at line

b

(6x+24)^{\circ}

. Determine the values of

x

and

y