Question

Use the system of equations to answer the questions. 2x + 3y = 3, y = 8 – 3x. The value of y from the second equation is substituted back into the first equation. What is the resulting equation?

1) 2x + 3(8 - 3x) = 3
2) 2x + 3(8 - 3x) = 8 - 3x
3) 2x + 3(8 - 3x) = 8
4) 2x + 3(8 - 3x) = 24 - 3x

Answer 1

When the value of y from the second equation (y = 8 – 3x) is substituted into the first equation (2x + 3y = 3), the resulting equation is 2x + 3(8 - 3x) = 3.

Step-by-step explanation:

To find the resulting equation when the value of y from the second equation (y = 8 – 3x) is substituted back into the first equation (2x + 3y = 3), you would replace y in the first equation with the expression from the second equation.

The substitution results in 2x + 3(8 - 3x) = 3. This is because we are substituting the entire expression 8 – 3x for y in the first equation and keeping the rest of the equation unchanged.

Therefore, the correct resulting equation after substitution is: 2x + 3(8 - 3x) = 3.