James used substitution to solve this system of equations. Which could be the result of his first step

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Question:

James used substitution to solve this system of equations. Which could be the result of his first step

2x+3y=12
y=x+1.5
A.y=2x+3y
B.y=2x+3y+1.5
C.2x+3x+1.5=12
D.2x+3(x+1.5)=12

Answer:

Using Substitution to solve this system of equation, the result of his first step will be  2x + 3(x + 1.5) = 12

Substitution

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)

  • 2x + 3(x + 1.5) = 12
  • 2x + 3x + 4.5 = 12

Therefore, the result of his first step is 2x + 3(x + 1.5) = 12

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