Question

James used substitution to solve this system of equations which equation could be the result of his first step?

Answer 1

Answer: OPTION D.

Step-by-step explanation:

The compete exercise is: "James used substitution to solve this system of equations. Which could be the result of his first step

$\left \{ {{2x+3y=12} \atop {y=x+1.5}} \right.\\\\\\A.y=2x+3y\\B.y=2x+3y+1.5\\C.2x+3x+1.5=12\\D.2x+3(x+1.5)=12$ "

Given the sytsem of equations:

$\left \{ {{2x+3y=12} \atop {y=x+1.5}} \right.$

1-  Solve for one of the variables from any equation and substitute it into the other equation.

2- Solve for the other variable in order to get its value.

3-  Substitute this value  back into one of the original equations. and find the value of the other variable.

In this case youu can observe that the second equation is already solved for "y", therefore, in  order to use the Substitution Method, the first step is: Substitute the second equation into the first one.

Therefore, the  equation that could be the result of James' first step is:

$2x+3y=12\\\\2x+3(x+1.5)=12$

Answer 2

Answer:

2x+3(x+1.5)=12

Step-by-step explanation:

i know because i got it right on the i-ready quiz