Question

PLEASE HELP I AM ACTUALLY DESPERATE!!!!!!!!!!!!!!:(

What is the product of the cubed root of eight and three to the third power?

What is the value of x when solving the following system of equations:
y = 3x - 5
2x - 4y = 10

Answer 1

54

Explanation:

cubed root(8) * (3 to the third) = 54

What is the value of x when solving the following system of equations:

y=3x−5;2x−4y=10

Step: Solve y=3x−5 for y: y=3x−5

Step: Substitute 3x−5 for y in 2x−4y=10:

2x−4y=10

2x−4(3x−5)=10

−10x+20=10(Simplify both sides of the equation)

−10x+20+−20=10+−20(Add -20 to both sides)

−10x=−10

−10x /−10 =−10/−10

(Divide both sides by -10)

x=1

Step: Substitute 1 for x in y = 3x−5:

y=3x−5

y=(3)(1)−5

y=−2(Simplify both sides of the equation)

Answer: x=1 and y=−2

Answer 2

1. 13824

2. x = 1

Explanation:

1. Cubed root of 8 is basically 8x8x8, and 3 to the third power is basically 3x3x3. Now if we multiply them altogether, we get the answer 13824

2. You will need to use simultaneous equations to solve this.

Label the first equation as 1, and the second equation as 2. This will make things easier.

We see that in equation 1, a y-value is given to us (even though there is still an 'x' in there!). We can sub in this y-value into equation 2, replacing the 'y' in 2 with 3x - 5

2x - 4(3x - 5) = 10

Now expand the brackets, and remember that negative times negative is positive!

2x - 12x + 20 = 10

Group the 'x's together,

-10x + 20 = 10

Minus 20 to the other side,

-10x = -10

Divide by -10 to get x by itself, (remember that negatives cancel out again!)

x = 1

Hope this helped!! Ask me if there's any part of the working you don't understand :)