Question

1. when solving the following system of equations, which variable would be the easiest to solve for?

\

$$\begin{cases} 5x + 3y = 22 \\\\ 4x - 2y = 16 \\end{cases}$$

\bigcirc the x in the first equation
\bigcirc the y in the first equation
\bigcirc the x in the second equation
\bigcirc the y in the second equation

Explanation:

Step1: Analyze coefficient simplicity

Check variable coefficients for divisibility.

Step2: Evaluate second equation y

Second equation: $4x - 2y = 16$. The coefficient of $y$ is $-2$, and all terms are divisible by 2, simplifying isolation.

Step3: Compare other variables

First equation variables have coefficients 5 and 3 (no common divisor with constants 22/16). Second equation x has coefficient 4, less simple than y's -2 for division.

Answer:

the y in the second equation