Question

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to y from the first equation is substituted into the second equation. 6x − y = 1 4x − 3y = −11

Answer 1

Using the substitution method, we solve the first equation for y as y = 6x - 1, then substitute it into the second equation to get the new equation: -14x + 3 = -11.

Step-by-step explanation:

To solve the system of equations:
6x - y = 1
4x - 3y = -11
using the substitution method, we first solve the first equation for y to get y = 6x - 1. Then we substitute this expression for y in the second equation, which gives us:

4x - 3(6x - 1) = -11

Simplifying the above equation, we multiply -3 by each term inside the parentheses:

4x - 18x + 3 = -11

Combining like terms, we have:

-14x + 3 = -11

This is the new equation after substituting the expression equivalent to y from the first equation into the second equation.