Answer:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Step-by-step explanation:
Let
Taylor's age = x
Marty's age = y
Taylor is 15 years younger than Marty.
x = y - 15
Twice Marty’s age added to three times Taylors age totals 205.
205 = 2y + 3x...... Equation 1
Therefore, we substitute y - 15 for x in
205 = 2y + 3x...... Equation 1
205 = 2y + 3(y - 15)
205 = 2y + 3y - 45
Collect like terms
205 + 45 = 5y
250 = 5y
y = 250/5
y = 50 years
x = y - 15
x = 50 - 15
x = 35 years
Solving for x
Therefore:
Taylor's age = x = 35 years
Marty's age = y = 50 years
The relationship between 3x+4y=1 and 6x+8y=2 is that they are parallel lines.
<h3>What is the slope-intercept form of an equation?</h3>
Any linear equation has the form of y=mx+b
m is the slope of the equation
b is the y-intercept
The easiest way to see the relationship between the two lines is to transform them both into slope-intercept form, which is y=mx+b.
Equation 1 can be rewritten as
3x+4y=1
4y=1-3x
y= 
Equation 2 can be rewritten as:
6x+8y=2
8y=2-6x
y = 
Y= 
In this form, we can easily identify that both lines have a slope of
, but that they have different y-intercepts. Lines will equal slopes but different y-intercepts are parallel.
Therefore, the lines are parallel.
To know more about slope-intercept form and parallel lines, visit: brainly.com/question/1612114?referrer=searchResults
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Answer:
7. -8
8. -12
9. 2916
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
P=5a=5·20=100