Answer:
x=-4/9, y=10/3. (-4/9, 10/3).
Step-by-step explanation:
3x+4y=12
3x=2y-8
--------------
2y-8+4y=12
6y-8=12
6y=12+8
6y=20
y=20/6
simplify,
y=10/3
3x=2(10/3)-8
3x=20/3-8
3x=20/3-24/3
3x=-4/3
x=(-4/3)/3
x=(-4/3)(1/3)=-4/9
x=-4/9, y=10/3. (-4/9, 10/3).
Answer:
Trapezoid 1 (left side):
Base 1 = 2
Base 2 = 5
Trapezoid 2 (right side):
Base 1 = 6
Base 2 = 8
Step-by-step explanation:
<u>1st trapezoid:</u>
b_1 = x
b_2 = x + 3
h = 4
Hence, area (from formula) would be:
<u>2nd trapezoid:</u>
b_1 = 3x
b_2 = 4x
h = 2
Putting into formula, we get:
Let's equate both equations for area and find x first:
We can plug in 2 into x and find length of each base of each trapezoid.
Trapezoid 1 (left side):
Base 1 = x = 2
Base 2 = x + 3 = 2 + 3 = 5
Trapezoid 2 (right side):
Base 1 = 3x = 3(2) = 6
Base 2 = 4x = 4(2) = 8
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your welcome
