1 What ordered in the FORM (x,y) is Solution of this 3x-4y=21 Equation Choice are

(-3,-2)
(-2,-3)
(0,4)
(4,0)
2 What ordered in the FORM (x,y) is Solution of this Equation
(x+6)y=9
What ordered in the FORM (x,y) is Solution of this Equation
x+3y=19
What ordered in the FORM (x,y) is Solution of this Equation
5xy+9=44
What ordered in the FORM (x,y) is Solution of this Equation
3xy+9=33
Please Help Much needed

I think you meant:

What ordered pair in the form (x,y) is a solution of ....

1.
3x-4y=21
You will just have to test each of the given choices in the equation.
I will do (-2,-3) , you do the others
LS = 3(-2) + 4(-3)
= -6 - 12
= -18
≠ RS
So (-2,-3) is NOT a solution

Keep going until you find the one where LS = RS
(Left Side = Right Side)

Can't tell for the others,since you gave no choices, unless those given apply to all.
In that case, just keep chugging along with my method

Thank you so much

To determine which ordered pairs satisfy each equation, we can plug in the given values of x and y and check if the equation holds true.

1. For the equation 3x - 4y = 21:
- Plugging in (-3, -2):
3(-3) - 4(-2) = -9 + 8 = -1 ≠ 21
So, (-3, -2) is not a solution.

- Plugging in (-2, -3):
3(-2) - 4(-3) = -6 + 12 = 6 ≠ 21
So, (-2, -3) is not a solution.

- Plugging in (0, 4):
3(0) - 4(4) = 0 - 16 = -16 ≠ 21
So, (0, 4) is not a solution.

- Plugging in (4, 0):
3(4) - 4(0) = 12 ≠ 21
So, (4, 0) is not a solution.

Therefore, none of the given ordered pairs solve the equation.

2. For the equation (x+6)y = 9:
- Plugging in (x, y) = (-3, -3):
(-3 + 6)(-3) = 3(-3) = -9 ≠ 9
So, (-3, -3) is not a solution.

- Plugging in (x, y) = (-3, 3):
(-3 + 6)(3) = 3(3) = 9
So, (-3, 3) is a solution.

- Plugging in (x, y) = (3, -3):
(3 + 6)(-3) = 9(-3) = -27 ≠ 9
So, (3, -3) is not a solution.

- Plugging in (x, y) = (3, 3):
(3 + 6)(3) = 9(3) = 27 ≠ 9
So, (3, 3) is not a solution.

Therefore, the only ordered pair that solves the equation is (-3, 3).

3. For the equation x + 3y = 19:
We can plug in various values of x and y, but it seems that no integer-valued solutions exist for this equation.

4. For the equation 5xy + 9 = 44:
- Solving for x:
5xy = 44 - 9
5xy = 35
xy = 7

- Plugging in x = 1 and y = 7:
xy = 1 * 7 = 7
Therefore, (1, 7) is a solution.

- Plugging in x = 7 and y = 1:
xy = 7 * 1 = 7
Therefore, (7, 1) is a solution.

Therefore, the ordered pairs (1, 7) and (7, 1) satisfy the equation.

5. For the equation 3xy + 9 = 33:
- Solving for x:
3xy = 33 - 9
3xy = 24
xy = 8

- Plugging in x = 1 and y = 8:
xy = 1 * 8 = 8
Therefore, (1, 8) is a solution.

- Plugging in x = 8 and y = 1:
xy = 8 * 1 = 8
Therefore, (8, 1) is a solution.

Therefore, the ordered pairs (1, 8) and (8, 1) satisfy the equation.

1. To find which ordered pair is a solution of the equation 3x - 4y = 21, you need to substitute the x and y values from each choice into the equation and see if it satisfies the equation.

Let's try:
a) (-3, -2)
Substituting x = -3 and y = -2 into the equation:
3(-3) - 4(-2) = -9 + 8 = -1 ≠ 21

b) (-2, -3)
Substituting x = -2 and y = -3 into the equation:
3(-2) - 4(-3) = -6 + 12 = 6 ≠ 21

c) (0, 4)
Substituting x = 0 and y = 4 into the equation:
3(0) - 4(4) = 0 - 16 = -16 ≠ 21

d) (4, 0)
Substituting x = 4 and y = 0 into the equation:
3(4) - 4(0) = 12 ≠ 21

None of the given choices satisfy the equation 3x - 4y = 21, so there is no solution among the given options.

2. Let's solve each equation one by one to find the ordered pairs that satisfy them.

a) (x + 6)y = 9
To find the solution, we need another equation because we have two variables (x and y) and only one equation. If we have another equation, we can solve the system of equations to find the values of x and y.

b) x + 3y = 19
To solve this equation, we can rearrange it to isolate one variable:
x = 19 - 3y
Now, we can substitute this value of x into the first equation to solve the system of equations.

c) 5xy + 9 = 44
This is a nonlinear equation with two variables (x and y), and it is not easy to find a specific solution by hand. We can use numerical methods, such as graphing or using a calculator, to approximate the solution.

d) 3xy + 9 = 33
Like the previous equation, this is a nonlinear equation. We can use numerical methods to approximate the solution.

To find the ordered pair in the form (x, y) that satisfies each equation, we need more information or additional equations to solve the systems of equations.