Well using elimination is easy because they basically did it for you.
4x-5y=-6
2x+5y=12
The postive 5y and negative 5y cancel out because -5y plus 5y is zero.
so you are left with
4x=-6
2x=12
Add these together
6x=18
divide both sides by 6 and Solve to find your x
x=3
Now we have to eliminate x to find y.
we multiply the second equation by -2 so it can cancel out so
(2x+5y=12)-2
-4x-10y=24
Add the equations together
4x-5y=-6
-4x-10y=24
You are left with -15y = 30
Solve for y
y = -2
So your final answer for the elimination would be
(3,-2)
Answer:
The area of the trapezoid is 40 square inches
Step-by-step explanation:
Here, we want to find the area of the given trapezoid
Mathematically, we apply the formula for the area
In this case, a will be 10, b will be 6 and h will be 5
Substituting these values, we have that ;
A = 1/2(10 + 6)5
A = 1/2(16)(5)
A = 40 square inches
Answer:
78
Step-by-step explanation:
x = your age
400 - 2x = 244
subtract 400 from both sides of the equation:
-2x = -156
divide both sides by -2:
x = 78
We need to find a common denominator(bottom number of fraction)
5/3 = 25/15 (multiply both top and bottom by 5)
1/5 = 3/15 (multiply both top and bottom by 3)
Now since the denominator is the same we can add to get 25/15 + 3/15 = 28/15