Hello,
Let's assume f the age of the father,
s the age of the son.
<span>The age of a father is 2 less than 7 times the age of his son ==> f=7s-2 (1)
</span>
<span>In 3 years, the sum of their ages will be 52 ==>(f+3)+(s+3)=52 (2)
(2)==>f+s+6=52
==>f+s=46 (3)
(3) and (1) ==>7s-2+s=46
==>8s=48
==>s=6
f=46-6=40
</span>
The line goes 3 right for every 1 down, so the gradient is -1/3
The y-intercept is +4, so the equation is actually y=-1/3x+4, so Chris is wrong.
Answer:
(1,4)
Step-by-step explanation:
The two lines intersect at 1,4 when you graph them
The first equation is already in slope intercept from, so you know the y-int. is 7 and the slope is 3. However, the second equation must be put in slope int. form.
5x+2y=3
move the y to the other side
5x=3-2y
move the 3 to the other side, so the y variable is by itself
5x-3=-2y
divide by -2 to the equation is equal to y
(-5x/2)+(3/2)=y
you now know the y int. of the second equation is 3/2 and the slope is -5/2
know that you know the slop int. formulas for both equations you can graph them
Answer:
The system of equations are 
and 
Step-by-step explanation:
Given : There are a total of 64 students in a drama club and a yearbook club. The drama club has 10 more students than the yearbook club.
To find : Write a system of linear equations that represents the situation.
Solution :
Let x represent the number of students in the drama club
and y represent the number of students in the yearbook club.
There are a total of 64 students in a drama club and a yearbook club.
i.e. ....(1)
The drama club has 10 more students than the yearbook club.
i.e. ....(2)
Substitute the value of (2) in (1),
Substitute in (2),
Therefore, the system of equations are and
Answer:
2d = 2x + 5b = 6p
Step-by-step explanation:
2d = 1x + 5b + 1x = 6p
2d = 2x + 5b = 6p
