when will the line .5(x)-87 and .4(x)-34.8 meet on a graph

Eq1: 5X - Y = 87

Eq2: 4X - Y = 34.8
Multiply Eq1 by -1:
-5X + Y = -87
4X - Y = 34.8
Add the 2 Eqs:
-X = = - 52.2,

X = 52.2.

Substitute 52.2 for X IN Eq1:
5*52.2 - Y = 87,
261 - Y = 87,
-Y = 87 - 261,
-Y = -174,

Y = 174.

Solution Set = (52.2 , 174) = Point
where the two graphs intersect.