Answer:
x=3.5 y=8
Step-by-step explanation:
Remeber, in a rectangle, opposite sides are equal so
[tex]2x + 3y = 31[/tex]
and
a
[tex]2x + 1 = y[/tex]
Subsitue 2x+1 for y.
[tex]2x + 3(2x + 1) = 31[/tex]
[tex]2x + 6x + 3 = 31[/tex]
[tex]8x + 3 = 31[/tex]
[tex]8x = 28[/tex]
[tex]x = 3.5[/tex]
Plug this back in to one of the equations to find y.
[tex]2x + 1 = y[/tex]
[tex]2(3.5) + 1 = y[/tex]
[tex]7 + 1 = y[/tex]
[tex]8 = y[/tex]
So x=3.5
y=8
