Answer:
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
Step-by-step explanation:
Part 3) Let
x ----> the number of points that Miguel scored
y ---> the number of points that Alonzo scored
we know that
[tex]x+y=54[/tex] ----> equation A
[tex]x=y+4[/tex] ----> equation B
substitute equation B in equation A and solve for y
[tex](y+4)+y=54\\2y=54-4\\2y=50\\y=25[/tex]
Find the value of x
[tex]x=25+4=29[/tex]
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
[tex]x+y=44[/tex] -----> equation A
[tex]x=y-15[/tex] ----> equation B
substitute equation B in equation A and solve for y
[tex](y-15)+y=44\\2y=44+15\\2y=59\\y=29.5[/tex]
Find the value of x
[tex]x=29.5-15=14.5[/tex]
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
