Question

solve using substitution:
y=6x+14
2x - y=2
2x - (6x + 14)=0 + 2

Explanation:

Step1: Simplify the substituted equation

$2x - 6x - 14 = 2$

Step2: Combine like terms for $x$

$-4x - 14 = 2$

Step3: Isolate the $x$-term

$-4x = 2 + 14$
$-4x = 16$

Step4: Solve for $x$

$x = \frac{16}{-4} = -4$

Step5: Substitute $x=-4$ into $y=6x+14$

$y = 6(-4) + 14$

Step6: Calculate the value of $y$

$y = -24 + 14 = -10$

Answer:

$x=-4$, $y=-10$