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2. -3x-y = 2y = 112345-1-2-3-4-512345-1-2-3-4-5Clear All Draw: LineDotSolution =

2 3xy 2y 112345123451234512345Clear All Draw LineDotSolution class=

Sagot :

we have the system of equations

-3x-y=2 ------> equation A

y=1 ------> equation B

step 1

To graph the lines we need two points

so

Find out the intercepts

-3x-y=2

y-intercept (value of y when the value of x is zero)

For x=0

-3(0)-y=2

-y=2

y=-2

y-intercept is (0,-2)

x-intercept (value of x when the value of y is zero)

For y=0

-3x-0=2

-3x=2

x=-2/3

Find out another point (because the x-intercept is a decimal)

For x=2

-3(2)-y=2

y=-8

other point is (2,-8)

Plot the points, and join them to graph the line

For the line

y=1 -----> is a horizontal line that passes through the point (0,1)

step 2

Graph the lines

using a graphing tool

see the attached figure

the solution is the intersection point both lines

In this problem, the solution is the point (-1,1)

View image AxtenA266832
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