Can somebody find the solution to this question

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Explanation:

4x-3y = -23 is the same as 12x-9y = -69 when we multiply both sides by 3

-3x-2y = -4 is the same as -12x-8y = -16 when we multiply both sides by 4

Our updated system looks like this

Notice how we have 12x and -12x. They combine to 0x allowing the x terms to go away.

The y terms combine to -9y+(-8y) = -17y and the right hand sides combine to -69+(-16) = -85

After doing those three sets of additions, we get the new equation -17y = -101 which solves to y = -85/(-17) = 5

The last step is to use this y value to find x

4x-3y = -23

4x-3(5) = -23

4x-15 = -23

4x = -23+15

4x = -8

x = -8/4

x = -2

So the solution is (x,y) = (-2, 5)

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Check:

Let's plug the solution into the first equation

4x-3y = -23

4(-2)-3(5) = -23

-8-15 = -23

-23 = -23

We get a true result. Let's do the same for the second equation

-3x-2y = -4

-3(-2) - 2(5) = -4

6 - 10 = -4

-4 = -4

This result is true as well. So we've confirmed both equations to fully confirm the solution of this system.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.