Question

2. Here is a linear equation in two variables: 2x + 4y - 31 = 123.

Answer 1

Answer:

Part 1) $x=77-2y$

Part 2) $y=38.5-0.5x$

Step-by-step explanation:

we have

$2x+4y-31=123$

Part 1) Solve for x

That means -----> isolate the variable x

$2x+4y-31=123$

Subtract 4y both sides

$2x+4y-31-4y=123-4y$

$2x-31=123-4y$

Adds 31 both sides

$2x-31+31=123-4y+31$

$2x=154-4y$

Divide by 2 both sides

$2x/2=(154-4y)/2$

$x=(154-4y)/2$

$x=77-2y$

Part 2) Solve for y

That means -----> isolate the variable y

$2x+4y-31=123$

Subtract 2x both sides

$2x+4y-31-2x=123-2x$

$4y-31=123-2x$

Adds 31 both sides

$4y-31+31=123-2x+31$

$4y=154-2x$

Divide by 4 both sides

$4y/4=(154-2x)/4$

$y=(154-2x)/4$

$y=38.5-0.5x$