What are the answers to these math problem?

Question

1) (3x^2y^4)^2

2) 4x^6y^9

-------------------

8x^2y

3) (4x^3y^2)(2xy^8)

4) 2x+ 3y= 11

y= -2x+1

5) 5x +2y=10

12x-8y=24

Answer 1

1) (3x^2y^4)^2 = 3²(x²)²(y^4)² = 9x^4y^8

2) 4x^6y^9

------------------- = (x^4y^8) / 2

8x^2y

3) (4x^3y^2)(2xy^8) = 4*2x^(3+1)y^(2+8) = 8x^4y^(10)

4) 2x+ 3y= 11

y= -2x+1

2x + 3(-2x+1) = 11

2x - 6x + 3 = 11

-4x = 8

x = -2

y = -2(-2) + 1

y = 4 + 1

y = 5

5) 5x +2y=10

12x-8y=24

Multiply the first equation by 4 and add it to the second equation.

4(5x + 2y = 10)

20x + 8y = 40

+ (12x - 8y = 24)

---------------------

32x = 64

x = 2

Substitute this into the first equation and solve for y

5x + 2y = 10

5*2 + 2y = 10

10 + 2y = 10

2y = 0

y = 0

Hope this helps you!