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 1

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.

Answer 2

a b c or d

Answer 3

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.