In this soccer season Emma has scored one more than twice the number of Nikki's goals if Emma has scored 15 goals which equation can be used to find X number of goals

Respuesta :

Answer:

[tex]X = 22[/tex]

Step-by-step explanation:

Given

Represent Emma with E and Nikki with N

From the question, we have that:

[tex]E = 1 + 2N[/tex]

and

[tex]E = 15[/tex]

Required

Determine the X number of goals

Substitute 15 for E in [tex]E = 1 + 2N[/tex]

[tex]15 = 1 + 2N[/tex]

Subtract 1 from both sides

[tex]15 -1 = 1 - 1 + 2N[/tex]

[tex]14 = 2N[/tex]

Divide both sides by 2

[tex]\frac{14}{2} = \frac{2N}{2}[/tex]

[tex]\frac{14}{2} = N[/tex]

[tex]7 = N[/tex]

[tex]N=7[/tex]

This implies that Nikki scored 7 goals in total

The X number of goals is then calculated as:

[tex]X = N + E[/tex]

[tex]X = 7 + 15[/tex]

[tex]X = 22[/tex]

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