Answer:
The lines intersect at (1.6,1.4).
Step-by-step explanation:
1.5x + 0.2y = 2.68
0.2y = -1.5x + 2.68
y=( -1.5x + 2.68)/0.2
<u>y=-7.5x+13.4</u>
1.6x + 0.3y = 2.98
0.3y = -1.6x + 2.98
y=( -1.6x + 2.98)/0.3
<u>y=-5.3333x+9.9333</u>
<em>The lines are not parallel because they have different slopes -7.5≠-5.3333</em>
<em>The lines do not overlap at all points. example for x=0 9.9333≠13.4</em>
to get the intersection point
-5.3333x+9.9333=-7.5x+13.4
2.1667x=3.4667
x=1.6
replacing x in any of the equations
y=-7.5x1.6+13.4=1.4
Then the lines intersect at (1.6,1.4).