Question

Una clase de geometría tiene un total de 46 estudiantes. El número de mujeres es 12 menos que el número de hombres. ¿Cuántos hombres y cuántas mujeres están en la clase?

Answer 1

En la clase de geometría hay 29 hombres y 17 mujeres.

System of Linear Equations

A system of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

You can solve a linear system by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other. For solving this question, you will apply the  substitution method.

The question gives:

• número de mujeres es 12 menos que el número de hombres - m=h-12
• clase de geometría tiene un total de 46 estudiantes = m+h=46

Then,

m+h=46 (1)

m=h-12  (2)

You should replace equation 2 in the variable m for equation 1. See below

h-12+h=46

2h=46+12

2h=58

h=29

If h=29, from equation 2 you will find m=29-12=17

Read more about solving systems equations here:

brainly.com/question/12691830

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