The graph of the equation $2 x + 6 y = 4$ $2x+ 6y =4$ passes through point (x,-2). What is the value of x?

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Answer 1 · 2017-01-03T13:16:32

$x = 8$ $x = 8$

To solve this problem we substitute $- 2$ $color(red)(-2)$ for $y$ $color(red)(y)$ in the equation and solve for $x$ $x$ :

$2 x + 6 y = 4$ $2x + 6color(red)(y) = 4$

Becomes:

$2 x + (6 \times - 2) = 4$ $2x + (6 xx color(red)(-2)) = 4$

$2 x + (- 12) = 4$ $2x + (-12) = 4$

$2 x - 12 = 4$ $2x - 12 = 4$

Next we can add $12$ $color(red)(12)$ to each side of the equation to isolate the $x$ $x$ term while keeping the equation balanced:

$2 x - 12 + 12 = 4 + 12$ $2x - 12 + color(red)(12) = 4 + color(red)(12)$

$2 x - 0 = 16$ $2x - 0 = 16$

$2 x = 16$ $2x = 16$

Now, we divide each side of the equation by $2$ $color(red)(2)$ to solve for $x$ $x$ while keeping the equation balanced:

$\frac{2 x}{2} = \frac{16}{2}$ $(2x)/color(red)(2) = 16/color(red)(2)$

$(color(red)cancel(color(black)(2))x)/cancel(color(red)(2)) = 8$

$x = 8$

The graph of the equation 2x+ 6y =42x+6y=42x+ 6y =4 passes through point (x,-2). What is the value of x?