(05.02 mc) a system of equations is shown below: 2x = −y + 6 −4x + 3y = 8 what is the solution to this system of equations? (5 points) (−1, −4) (1, 4) (4, 1) (−4, −1)

The correct option is 2.

Step-by-step explanation:

The given system of equations is

       .... (1)

     .... (2)

Substitute the value of from equation (1) to equation (2).

Using distributive property, we get

Subtract both sides by 18.

Divide both sides by -10.

The value of x is 1. Put this value in equation (1) to find the value of y.

The solution of the given system of equation is (1,4). Therefore the correct option is 2.

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are