Answer:the present age of the father is 45 years
Step-by-step explanation:
Let x represent the present age of the father.
Let y represent the present age of the son.
Let z represent the age of the daughter.
A father is 3 times as old as his son. This means that
x = 3y
his daughter is 3 years younger than the son. It means that
z = y - 3
The sum of their ages 3 years ago was 63. This means that
x - 3 + y - 3 + z - 3 = 63
x + y + z - 9 = 63 - - - - - - - - - - 1
Substituting x = 3y and z = y - 3 into equation 1, it becomes
3y + y + y - 3 - 9 = 63
5y - 12 = 63
5y = 63 + 12 = 75
y = 75/5 = 15
x = 3y = 3 × 15
x = 45
z = y - 3 = 15 - 3
z = 12
Answer: A. 8.75
Step-by-step explanation: y=12.5x
Step 1: Flip the equation.
12.5x=y
Step 2: Divide both sides by 12.5.
12.5x/12.5=y/12.5 x=8
The answer was 0.8, but I moved the decimal over and it was 80% I simplified it to 8.75
Factor out the common term "2".
2(13x+2y) = 54
Now, divide both sides by 2.
13x + 2y = 54/2. <-- <u>We could not divide into a whole number so it's a fraction.</u>
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Simplify 54/2 to 27.
13x + 2y = 27 <--- <u>Since we have a whole number without a letter, we are done with that side.</u>
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Now, we subtract 2y from both sides.
13x = 27 - 2y
Divide both sides by 13.
x = 27 - 2y/13.
<h3>Therefore, we get <u>x = 27 - 2y/13</u></h3>
That would be our final answer.
Good luck on your assignment!
- Emacathy
Answer:
Let's define all the possible forms:
slope-intercept: y = a*x + b
point-slope: y - y1 = a*(x - x1) (where (x1, y1) is a point in the line)
standard form: a*x + b*y = c
then:
a) 7x + 5y = 8
This is in standard form.
b) y − 5 = 3*(x − 9)
This is in point slope form.
c) y = 7x + 9
This is in slope-intercept form.
d) 8x − 9y = −2
This is in standard form.
Answer:
(-2,2)
Step-by-step explanation:
Looking at your graph, the part were both lines intersect/meet is at point (-2,2). Since (-2,2) is the point of intersection, it is the solution to the equations.
Hope this helps ^-^
