Answer:
Option D - [tex]2x+3(x+1.5)=12[/tex]
Step-by-step explanation:
Given : James used substitution to solve this system of equations.
Equation 1 - [tex]2x+3y=12[/tex]
Equation 2 - [tex]y=x+1.5[/tex]
To find : Which could be the result of his first step ?
Solution :
In substitution method we substitute the value of one variable from a equation and put it into another equation.
We substitute the value of y from equation 2 in equation 1,
Equation 1 - [tex]2x+3y=12[/tex]
[tex]2x+3(x+1.5)=12[/tex]
Therefore, the result of his first step is [tex]2x+3(x+1.5)=12[/tex]
So, Option D is correct.
Using Substitution to solve this system of equation, the result of his first step will be 2x + 3(x + 1.5) = 12
Substitution simply means to put in place of another. Substitution method is use to solve systems of equation by replacing one variable with another.
Therefore,
2x + 3y = 12
y = x + 1.5
using substitution,
y = x + 1.5
Therefore, let put the value of y in equation(ii)
Therefore, the result of his first step is 2x + 3(x + 1.5) = 12
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