Question

#

Analyze the solution set of the following system by
following the given steps.
2x+y=5
3y=9-6x
Write each equation in slope-intercept form.
y = -2
COMPLETE
√x+5
√x+3
What do the equations have in common? How are
they different?
Intro

Answer 1

The given equations are written in slope-intercept form. Both equations have a similar slope but different y-intercepts.

Step-by-step explanation:

To analyze the solution set of the given system, we need to first write each equation in slope-intercept form. The slope-intercept form of an equation is y = mx + b, where m represents the slope and b represents the y-intercept.

For the equation 2x + y = 5, y can be isolated to get y = -2x + 5.

For the equation 3y = 9 - 6x, we can divide both sides by 3 to get y = -2 + 2x.

Both equations have a similar form of y = mx + b, where the slope (m) is -2. The main difference is the y-intercept (b), which is 5 for the first equation and -2 for the second equation.

Learn more about Equations in slope-intercept form