Question

Analyze the solution set of the following system by

Answer 1

Answer:

Slope -intercept for of equation 1: $y=-2x+5$

Slope -intercept for of equation 2: $y=-2x+3$

Looking at slope-intercept form of both equations, we have slope m = -2

Both have same slopes so, the lines are parallel.

Step-by-step explanation:

We need to write equations in slope-intercept form.

The general formula of slope-intercept form is: $y=mx+b$ where m is slope and b is y-intercept.

The first equation is:

$2x+y=5$

Slope-intercept form:

$y=-2x+5$

The second equation is: $3y=9-6x$

Rearranging: $3y=-6x+9$

Slope-intercept form:

$y=\frac{-6}{3} x +\frac{9}{3}\\y=-2x+3$

Slope -intercept for of equation 1: $y=-2x+5$

Slope -intercept for of equation 2: $y=-2x+3$

Looking at slope-intercept form of both equations, we have slope m = -2

Both have same slopes so, the lines are parallel.

They have different y-intercepts.