Answer:
y=14
Step-by-step explanation:
x + y = 84
-1(x - 4y = 14)
-x + 4y = -14
x + y = 84
-x + 4y = -14
5y = 70
divide by 5
y = 14
The formula for the area of a trapezoid is:
A= (a+b)/2*h
A=150
h=10
b=14
a=?
So we need to solve for a. Let's plug in the values that we do know...
A= (a+b)/2*h
150=(a+14)/2*10
150=(a/2+14/2)*10
150=(a/2+7)*10
Divide both sides by 10
15=a/2+7
subtract 7 from both sides
8=a/2
multiply both sides by 2
16=a
The other base is 16
Step by Step Solution
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System of Linear Equations entered :
[1] -4x - 3y = -7
[2] 16x - 3y = 13
Graphic Representation of the Equations :
-3y - 4x = -7 -3y + 16x = 13
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 16x = 3y + 13
[2] x = 3y/16 + 13/16
// Plug this in for variable x in equation [1]
[1] -4•(3y/16+13/16) - 3y = -7
[1] - 15y/4 = -15/4
[1] - 15y = -15
// Solve equation [1] for the variable y
[1] 15y = 15
[1] y = 1
// By now we know this much :
x = 3y/16+13/16
y = 1
// Use the y value to solve for x
x = (3/16)(1)+13/16 = 1
Solution :
{x,y} = {1,1}
You put .875 over the number 1 to make it a fraction so
[0, inf)
The least y-value the function can have is 0 because the square of a number cannot be negative.
