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I need to know where to graph the system of linear equations. -1/2y = 1/2x + 5 and y=2x + 2 The solution to the system is( , )

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the given expression is

-1/2y = 1/2x +5

multiply the above equation by -2

-2(-1/2y) = -2(1/2x +5)

y = - x - 10 .....(1)

and the other equation is y = 2x + 2 .......(2)

in equation (1) we will put x = 0 , 1 , 2 and find the value of y

when x = 0 then y = -0 - 10 = -10 so point is (0,-10)

x =1 , y = -1 - 10 = -11 so point is (1, -11)

x = 2 , y = -2 - 10 = -12 , so point is (2, -12)

now you will draw the point graph and draw the line by joining them.

in equation (2) put x = 0 , 1 , 2

when x = 0 , y = 2(0) + 2 = 0 + 2 = 2 so point is (0, 2)

x = 1, y = 2(1) + 2 = 4, so the point is (1, 4)

x =2 , y = 2(2) +2 = 6 so the point is (2, 6)

now you will draw the point graph and draw the line by joining them.

Now you will get two lines

after drawing of these lines you will get the intersection point of these lines.

and the intersection point will be (-4, - 6)

User Jeffrey Fulton
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