Question

If you know answer please answer and put the steps on there thank you.

Answer 1

Answer:
`x=(3)/(2) , y=2`

Explanation:

Since this is a square, both sides are the same length. s × s = s² = area. This means that √area = s (the side length has to be positive since we are dealing with distance).

`√(100cm^2) = 10cm`

Now that we know the side length, we can set each equation to equal 10. Let's start with the top equation.

`4(3x-2)=10`

Distribute the 4 to (3x-2)

`12x-8=10`

Add 8 to both sides

`12x=18`

Divide both sides by 12

`x=(18)/(12)`

Simplify

`x=(3)/(2)`

To find y, we can set the second equation to equal 10.

`8x-y=10`

Since we are now looking for the y-value, we will isolate the y-variable from the rest of the equation. First, add y to both sides

`8x=10+y`

Subtract 10 from both sides to isolate the y-variable

`8x-10=y`

Since we already know what the value of x is, we can replace x with
`(3)/(2)`

`8((3)/(2) )-10=y`

`(24)/(2) -10=y`

Simplify
`(24)/(2)` to 12

`12-10 =y`

Subtract 10 from 12

`y=2`

Answer 2

Explanation:

We know that area of square = side *side

In this figure, the sides must be equal.

s1 = 4(3x-2)

s2 = 8x -y

But s1 = s2

• 12x -8 = 8x -y
• 4x = 8-y
• 4x +y = 8..(1)
• y = 8-4x..(a)

Similarly according to the question area = 100cm squared

Considering side to be 8x - y,

• s^2 = 100
• (8x - y)^2 = 100

On taking square root on both sides,

• 8x - y = 10
• 8x -10 = y ..(2)

Since y = y,(From (a) and(2))

• 8 -4x = 8x -10
• 18 = 12x
• x = 18/12 = 3/2

Putting 3/2 in eqn 1,

• 4(3/2) + y = 8
• 2*3 + y = 8
• y = 2