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.

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!

4

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step-by-step explanation:

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