Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

what is the proper way to set up the equation to begin solving? y = 6x …

Question

what is the proper way to set up the equation to begin solving?
y = 6x - 11
-2x - 3y = -7
-2x -3(11) = -7
-2x - 3(6x-11)= -7
-2(6x-11) -3y = -7
-2(-11) -3y= -7

Explanation:

Step1: Identify substitution

We have a system of equations: \( y = 6x - 11 \) and \( -2x - 3y = -7 \). To solve using substitution, we substitute the expression for \( y \) from the first equation into the second equation.

Step2: Substitute \( y \)

Substitute \( y = 6x - 11 \) into \( -2x - 3y = -7 \). This gives \( -2x - 3(6x - 11) = -7 \).

Answer:

\(-2x - 3(6x - 11) = -7\) (the second option: \(-2x - 3(6x - 11) = -7\))