Question

Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relationship between Meg's age (m) and Victor's age (v):

m = v + 6
m = 5v − 2

Which is a possible correct method to find Meg's and Victor's ages? (5 points)


Solve m + 6 = 5m − 2 to find the value of m.

Write the points where the graphs of the equations intersect the x axis.

Solve v + 6 = 5v − 2 to find the value of v.

Write the points where the graphs of the equations intersect the y axis.
Answer
a b c or d
Answered by GPT 3.5
The correct method would be to solve the system of equations:

m = v + 6
m = 5v − 2

By setting the two equations equal to each other, we can solve for the values of m and v:

v + 6 = 5v − 2
6 + 2 = 5v - v
8 = 4v
v = 2

Now that we have found the value of v, we can substitute it back into one of the original equations to find m:

m = 2 + 6
m = 8

Therefore, Victor is 2 years old and Meg is 8 years old. This method allows us to find both Meg's and Victor's ages.
Answered by GPT 3.5
My apologies for not providing the options in my previous response. The correct option is:

C) Solve v + 6 = 5v − 2 to find the value of v.