Question

Please help!!

Answer 1

Answer:

(Q.1) No solution

(Q.2) True

(Q.3)  x = 4 - 2y

(Q.4) True

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Step-by-step explanation:

(Q.1) As shown in the first attached figure.

By graphing.   x + 2y = 8   &   x + 2y = -4

The two lines are parallel, there is no intersection points between the lines.

So, there is no solution to the system of equations.

Also, we should note the parallel lines have the same slope

to find it make the equation similar to y = mx + c where m is the slope

at this situation m = -1/2

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(Q.2) As shown in the second attached figure.

By graphing the system of inequalities  y> -3x+2  &  y<2x+1

The Shaded area represents the solution of the system of inequalities

And the point (4,2) is inside the shaded area

So, The ordered pair (4,2) is a solution to the system of inequalities.

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(Q.3) solving the system { x+2y=4  &  2x+2y=6 } by substitution

From the first equation x + 2y = 4

we will find x in terms of y then plug it into the second equation

So, x + 2y = 4 ⇒  x = 4 - 2y

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(Q.4) As shown in the third attached figure.

By graphing.   2x + 4y = 8  &  x + 2y = 6

The two lines are parallel, there is no intersection points between the lines.

So, there is no solution to the system of equations.

Also, we should note the parallel lines have the same slope

to find it make the equation similar to y = mx + c where m is the slope

at this situation m = -1/2

Answer 2

First one is no solution second one you forgot to type our whole question