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 =
y =
VE +
X +
DONE
For

The equations in the slope-intercept form

y = - 2 x + 5

y = - 2 x + 3

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

To put any equation in the slope-intercept form state y on the left side, x and the numerical term on the right side, the coefficient of y must be 1.

Let us do that with the given equations

∵ 2x + y = 5

→ Subtract 2x from both sides to move x to the right sides

∴ 2x - 2x + y = 5 - 2x

∴ y = 5 - 2x

→ Switch 5 and - 2x

∴ y = - 2x + 5

∵ 3y = 9 - 6x

→ Divide each term by 3 to make the coefficient of y = 1

∴

∴ y = 3 - 2x

→ Switch 3 and - 2x

∴ y = - 2x + 3

The equations in the slope-intercept form

y = - 2x + 5

y = - 2x + 3

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step-by-step explanation:

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