Question

solve the system by the method of your choice.
\\( x = 11 + 7y \\)
\\( x - 7y = 10 \\)

Explanation:

Step1: Substitute \( x = 11 + 7y \) into the second equation

Substitute \( x \) from the first equation \( x = 11 + 7y \) into the second equation \( x - 7y = 10 \). So we get \( (11 + 7y) - 7y = 10 \).

Step2: Simplify the equation

Simplify \( (11 + 7y) - 7y = 10 \). The \( 7y \) and \( -7y \) cancel out, leaving \( 11 = 10 \).

Answer:

This system of equations has no solution because substituting the first equation into the second leads to a contradiction (\( 11 = 10 \) which is false).