The answer is x=-6 and y= 1
Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved
Answer:
96
Step-by-step explanation:
9514 1404 393
Answer:
12.0 cm
Step-by-step explanation:
Use the formula for the volume of a cylinder. Fill in the given values and solve for the height.
V = πr^2h
1846 cm^3 = π(7 cm)^2·h
h = 1846/(49π) cm ≈ 12.0 cm . . . . . . divide by the coefficient of h
The height of the can is about 12.0 cm.
Answer:
23 1/2 miles per gallon
Step-by-step explanation:
We start with dividing 329 miles with 14 gallons because it asks to find the number of miles on each gallon of gas -
Miles
----------------------------- =
Each gallon of gas
329 ÷ 14 = 23 1/2 miles per gallon
