Give a geometric description of the following system of equations. a. 2x−4y=12 −3x+6y=−15.b. 2x−4y=12 −5x+3y=10.a. 2x−4y=12 −3x+6y=−18.

a. No solution, parallel lines.

b. One solution.

Step-by-step explanation:

Given the system of equations:

a.

b.

To give a geometric description of the given system of equations.

The geometric description of a system of equations in 2 variables mean the system of equations will represent the number of lines equal to the number of equations in the system given.

i.e.

Number of planes = Number of variables

Number of lines = Number of equations in the system.

Here, we are given 2 variables and 2 equation in each system.

So, they can be represented in the xy-coordinates plane.

And the number of solutions to the system depends on the following condition.

Let the system of equations be:

1. One solution:

There will be one solution to the system of equations,  If we have:

2. Infinitely Many Solutions: (Identical lines in the system)

3. No Solution:(Parallel lines)

Now, let us discuss the system of equations one by one:

a. OR

OR

Here, the ratio:

Therefore, no solution i.e. parallel lines.

b. OR

OR

So, one solution.

Kindly refer to the images attached for the graphical representation of the given system of equations.

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.

it’s the first one your welcome