No the line will be vertical on point one
Answer: the last one, 31.6
The answer would be 52w -39
Answer:
Let x = amount of 45% antifreeze
Let y = amount of 70% antifreeze
EQUATION 1: x + y = 150 (total of 150 gallons mixed)
EQUATION 2: .45x + .75y = .55(x + y)
Simplify and solve the system of equations
Multiply second equation by 100 on both sides to remove the decimals
45x + 75y = 55(x + y)
Combine like terms
45x + 75y = 55x + 55y
45x - 55x + 75y - 55y = 0
-10x + 20y = 0
Now we have the following system of equations:
x + y = 150
-10x + 20y = 0
Multiply the first equation by -10 to get opposite coefficients for x; add the equations to eliminate x
10x + 10y = 1500
-10x + 20y = 0
------------------------------
30y = 1500
Solve for y
30y = 1500
y = 50
Since the total mixed gallons is 150, x = 150 - 50 = 100
So we need 100 gallons of the 45% antifreeze and 50 gallons of the 70% antifreeze
