Question

Pls solve. Showing your work is suggested.

Answer 1

Part 3) Miguel scored 29 points and Alonzo scored 25 points

Part 4) Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years

Explanation:

Part 3) Let

x ----> the number of points that Miguel scored

y ---> the number of points that Alonzo scored

we know that

`x+y=54` ----> equation A

`x=y+4` ----> equation B

substitute equation B in equation A and solve for y

`(y+4)+y=54\\2y=54-4\\2y=50\\y=25`

Find the value of x

`x=25+4=29`

the solution is the point (29,25)

That means ----> Miguel scored 29 points and Alonzo scored 25 points

Part 4) Let

x ----> Morgan's age

y ---> Mr Santos' age

we know that

`x+y=44` -----> equation A

`x=y-15` ----> equation B

substitute equation B in equation A and solve for y

`(y-15)+y=44\\2y=44+15\\2y=59\\y=29.5`

Find the value of x

`x=29.5-15=14.5`

the solution is the point (14.5,29.5)

That means ----> Morgan's age is 14 1/2 years and Mr Santos' age is 29 1/2 years