Answer:
(1, 3)
Step-by-step explanation:
x - 3y = -8
3x + y = 6
Isolate a variable in one of the equations:
y = 6 - 3x
Substitute the value of y into the other equation:
x - 3(6 - 3x) = -8
Use distributive property:
x - 18 + 9x = -8
Combine like terms:
10x - 18 = -8
Isolate the variable:
10x = 10
x = 1
Substitute the value of x into any equation:
3(1) + y = 6
3 + y = 6
Isolate the variable:
y = 3
Answer:
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
Step-by-step explanation:
In order to solve this problem we will attribute variables to the ages of Michael and his father. For his father age we will attribute a variable called "f" and for Michael's age we will attribute a variable called "x". The first information that the problem gives us is that Michael's dad is 30 years of age, so we have:
f = 30
Then the problem states that the age of the father is 2 years "more" than four "times" Michaels age. The "more" implies a sum and the "times" implies a product, so we have:
f = 2 + 4*x
We can now find Michael's age, for that we need to isolate the "x" variable. We have:
f - 2 = 4*x
4*x = f - 2
x = (f-2)/4
x = (30 - 2)/4 = 7 years
The two step equation that we can use to find michael's age is x = (f-2)/4 where f = 30. So Michael is 7 years old.
Answer:
brainly moderators suck
Step-by-step explanation:
Answer: a ticket to the movie costs $8.5
Step-by-step explanation:
Let x represent the cost of a movie ticket.
Let y represent the cost of a Soda.
Janice bought 3 movie tickets and 3 sodas and the total cost was $35.25. This means that
3x + 3y = 35.25 - - - - - - - - - -1
A ticket to the movie cost $5.25 more than a soda. This means that
x = y + 5.25
Substituting x = y + 25 into equation 1, it becomes
3(y + 5.25) + 3y = 35.25
3y + 15.75 + 3y = 35.25
6y = 35.25 - 15.75 = 19.5
y = 19.5/6 = 3.25
x = y + 5.25 = 3.25 + 5.25
x = 8.5
