Alonzo and Miguel scored a total of 54 points in the basketball game. Miguel scored four more points than Alonzo. Write and solve a pair of simultaneous linear equations that represents the situation. Interpret the solution.

a+m=54 m=a+4
a+m=54 m-a=a-a+4
a+m=54 m-a=4
Add the equations together.
a+m+m-a=54+4
2m=58
m=29
Miguel scored 29 points.
Alonzo scored 25 points.
Check: 25+29=54

Answer Link

Spymore Spymore · Answer 2 · 2018-08-30T05:41:47+02:00

We will call A and M the scores obtained by Alonzo and Miguel respectively

A + M = 54 (Alonzo and Miguel scored a total of 54 points) Equation 1

M = A + 4 (Miguel scored four more points than Alonzo) Equation 2

We will substitute the value of M for the second equation in the first equation.

A + A + 4 = 54

2A = 54 - 4

A = 50/2 = 25 points (Alonzo scored this.)

M = A +4 = 25+4 = 29 points (Miguel scored this.)

Answer : Alonzo scored 25 points and Miguel scored 29 points

Checking

A + M = 25 points + 29 points = 54 points Check !

Hope this helps!

[tex]\textit{\textbf{Spymore}}[/tex]