Question

Shiloh is 7 years older than Courtney. Shiloh's age is 13 years less than two times Courtney's age. The system below models the relationship between Shiloh's age (s) and Courtney's age (c):
s = c + 7
s = 2c – 13

Which of the following methods is correct to find Shiloh's and Courtney's age? (4 points)


Solve s + 7 = 2s – 13 to find the value of s.
Solve c + 7 = 2c – 13 to find the value of c.
Write the points where the graphs of the equations intersect the x-axis.
Write the points where the graphs of the equations intersect the y-axis.

Answer 1

Answer:

Option B is correct

Solve c + 7 = 2c – 13 to find the value of c.

Step-by-step explanation:

As per the statement:

Shiloh is 7 years older than Courtney. Shiloh's age is 13 years less than two times Courtney's age.

The system below models the relationship between Shiloh's age (s) and Courtney's age (c):

$s = c+7$           ....[1]

$s = 2c-13$         ....[2]

Equate the equation [1] and [2], to solve for c we have;

$c+7 = 2c-13$

Therefore, the following methods is correct to find Shiloh's and Courtney's age is:

Solve c + 7 = 2c – 13 to find the value of c.

Answer 2

The answer is, "B. Solve c + 7 = 2c − 13 to find the value of c."

Hoped I helped!