So dad is represented by x
son is represented by y
so x is (x=) 7 times his son (7y)
our first sentence is x=7y
10 years later (x+10, y+10) he will be 3 times as old as his son (x+10=3(y+10))
or 10+x=3(y+10)
so our sentences are
x=7y
and
x+10=3(y+10)
first we subsitute x=7y for x in the second equation
(7y)+10=3(y+10)
7y+10=3(y+10)
we distribute
7y+10=3y+30
subtract 3y from both sides
4y+10=30
subtract 10 from both sides
4y=20
divide both sides by 4
y=5
the son is currently 5 years old
x=7y
subsitute y=5 for y in equation
x=7(5)
x=35
the dad is currently 35 years old
in 10 years
dad is 45 and son is 15
dad=35
son=5
Answer:
2791
Step-by-step explanation:
Yea
Answer:
A. S
Step-by-step explanation:
The edge of the circle would be M and there is a line to the center showing the radius. The second letter shows the center.
Let x and y be the 2 integers.
Then x = 4y - 2
and xy = 90
Substitute for x in the second equation:-
(4y - 2)y = 90
4y^2 - 2y - 90 = 0
2y^2 - y - 45 = 0
(2y + 9)(y - 5) = 0
so y = 5 ( as it is an integer)
and x = = 90/5 = 18
Answer:- The 2 integers are 5 and 18.
If you replace c with -4 and y with 2, your equation becomes -4 - 14. Evaluate and you get -18, which is your answer.
