Question

James used substitution to solve this system of equations which equation 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+3(x+1.5)=12
d. 2x+3x+1.5=12

Answer 1

Answer:

c. 2x+3(x+1.5)=12

Step-by-step explanation:

Answer 2

The first step in James substitution method in solving the system of equations would result in the equation expressed as: C. 2x + 3(x + 1.5) = 12.

What is the Substitution Method?

To solve a system of equations using the substitution method, the value of a variable in one of the equations is substituted into the other equation.

Given:

2x+3y=12  --> Eqn. 1

y=x+1.5 --> Eqn. 2

To solve by using the substitution method, substitute y = x+1.5 into eqn. 1.

Thus, we would have the following as the first step:

2x + 3(x + 1.5) = 12

Therefore, the first step in James substitution method in solving the system of equations would result in the equation expressed as: C. 2x + 3(x + 1.5) = 12.

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