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Elanso [62]
3 years ago
10

Analyze the solution set of the following system by

Mathematics
1 answer:
RSB [31]3 years ago
7 0

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.

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