Mark is 5 years older than twice Jessica's age. The sum of their ages is 32. How old is Mark.

Use M to represent Mark's age and J to represent Jessica's age.
Which system of equation could be used to find mark's age?

~M=2J+5
M+2J=32
I think it is right please correct me if not so.

second equation should be M+J=32

Mark = M

Jessica=J
M=5+2J
So
M+J=32. But, we know that M=5+2J so we substitute.
5+2J+J (this is the same as Mark's age plus Jessica's age)=32
3J=32-5
3J=27
J=9
So. From earlier, we remember that M= 5+2J and since we are looking for Mark's age, we are going to have to substitute.
So, M=5+2x9
M=5+18
M=23

Correct! Mark is 23 years old.

You are partially correct. The correct system of equations to represent the given information is:

1) M = 2J + 5 (Mark is 5 years older than twice Jessica's age)
2) M + J = 32 (The sum of their ages is 32)

Equation 1 represents the relationship between Mark's age (M) and Jessica's age (J) based on the given information.

Equation 2 represents the sum of their ages being equal to 32.

Therefore, the correct system of equations to find Mark's age is M = 2J + 5 and M + J = 32.