Question

8 compound
an equation ( 7x + 6y = 14 ) is given.
(1) express ( x ) in terms of ( y ). which of the following is right?
a ( x = 2 - \frac{3}{7}y )
b ( x = 2 + \frac{3}{7}y )
c ( x = 2 - \frac{6}{7}y )
d ( x = 2 + \frac{6}{7}y )
(2) when ( y = 14 ), what is the value of ( x )?
a 10
b ( -10 )

Explanation:

Step1: Isolate term with $x$

$7x = 14 - 6y$

Step2: Solve for $x$

$x = \frac{14 - 6y}{7} = 2 - \frac{6}{7}y$

Step3: Substitute $y=14$ into $x$

$x = 2 - \frac{6}{7} \times 14$

Step4: Calculate the value of $x$

$x = 2 - 12 = -10$

Answer:

(1) C. $x = 2 - \frac{6}{7}y$
(2) B -10