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In solving the following system by the substitution method, select the one step which could occur.

{6x+3y=33x−y=1


Question options:

6(1−y)=33

6(1−y)+3y=33

6(1+y)=33

6(1+y)+3y=33

Respuesta :

Option D

6(1 + y) + 3y = 33 is the step that could occur

Solution:

Given that the system of equations are:

6x + 3y = 33 -------- eqn 1

x - y = 1 ---------- eqn 2

We have to solve the system of equations by substitution method

From eqn 2,

x - y = 1

Solve for variable "x"

x = 1 + y -------- eqn 3

Substitute eqn 3 in eq 1

6(1 + y) + 3y = 33

Thus Option D is correct

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