Question

consider this system of two-variable linear equations.
$2x + y = 8$
$6x - 2y = -6$
type the correct answer in each box.
the solution to this system is $x = $ and $y = $.

Explanation:

Step1: Isolate $y$ from first equation

$y = 8 - 2x$

Step2: Substitute $y$ into second equation

$6x - 2(8 - 2x) = -6$

Step3: Simplify and solve for $x$

$6x - 16 + 4x = -6 \\
10x = 10 \\
x = 1$

Step4: Substitute $x=1$ to find $y$

$y = 8 - 2(1) = 6$

Answer:

$x = 1$ and $y = 6$