Solve the system by substitution -x-y-z=-8 -4x+4y+5z=7 2x+2z=4 show the work

ANSWER

EXPLANATION

We the have the equations,

Multiplying through by negative one gives,

Also

and

Dividing through by 2 gives

Making z the subject  gives,

Now we substitute equation (3) into equation (1) and (2)

Equation (3) in to equation (1) gives,

This implies that;

We now put equation (3) in (2) to get,

This implies that

But

So,

Dividing through by negative 9 gives

and

Therefore

2

step-by-step explanation:

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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.