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?

A) Solve m + 6 = 5m − 2 to find the value of m.
B) Write the points where the graphs of the equations intersect the x axis.
C) Solve v + 6 = 5v − 2 to find the value of v.
D) Write the points where the graphs of the equations intersect the y axis.

Answer 1

let's see our options
A. this is wrong, m and v have been switched
B. this is assuming that one of their ages is 0
C. correct, v+6=m=5v-2, or v+6=5v-2
D. this assumes the other person is 0 years old


answer is C

Answer 2

Answer:  The correct option is

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

Step-by-step explanation:  Given that Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age.

The following equations model the relationship between Meg's age (m) and Victor's age (v):

m = v + 6

m = 5v − 2

We are to select the possible correct method to find Meg's and Victor's age.

Since both the equations gives the value of m, so it is better to compare both the equations to solve the given system.

That is,

after comparing both the equations, we will get

v + 6 = 5v - 2.

From here, we get the value of v and then substituting this value in any one of the two equations, we will readily find the value of m.

Thus, option (C) is CORRECT.