Question

An equation is shown below.

2x + y = 3

Part A: Explain how you will show all of the solutions that satisfy this equation.

Part B: Determine three different solutions for this equation.
Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent.

Answer 1

just plot the graph...by either subsituting values of x or y and calculating the value of other variable

Answer 2

Could you give an example?

Answer 3

like for x=2 ,subsituting this in given equation will give y=-1....this way for many values of x ,calculate values of y and then plot this on graph with y along y-axis and x along x-axis

Answer 4

Thanks, could you help with the last part? :)

Answer 5

ok..in terms of graph ,inconsistent means two lines that dont cut/meet at any point on graph..just write another equation with the same slope as the given one...that will be complete the pair

Answer 6

The slope is 2x right? 2/1?

Answer 7

no..cant be solved directly...differentiate the equation with respect to x and yu will get slope as -2 ...so the other equation to complete the pair will be the one with slope =-2 and so..it can be y=-2x ...that completes the pair

Answer 8

So the slope of this equation is -2? And the equation for the parallel line will be the same.

Answer 9

So I need to get this equation into slope-intercept form before I graph?

Answer 10

yes..parallel line will be any equation with slope -2

Answer 11

The equation needs to be in slope-intercept form before I graph?

Answer 12

no..yu dont need to...plot the values directly like yu solved earlier one

Answer 13

Ok, Thank you!

Answer 14

good luck :)