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=___ x + ___
y =___ x+ ___

Answer 1

`\text{Hello there!}\\\\\text{Turn the equations into slope-intercept form:}\\\\1.\\\\2x + y = 5\\\\\text{Subtract 2x from both sides}\\\\\boxed{y=-2x+5}\\\\2.\\\\3y = 9 - 6x\\\\\text{Divide both sides by 3}\\\\y=3-2x\,\,\text{or}\,\,y=-2x+3\\\\\boxed{y=-2x+3}`

Answer 2

y = -2x + 5
y = -2x + 3