For each ordered pair, determine whether it is a solution to the system of equations. { 7x-4y=6 -6x+7y=2 (x, y) Is it a solution? Yes or no?

Question

(6,9) (-8,0) (3, 3) (-5,-4)

Answer 1

To determine whether each ordered pair is a solution to the system of equations:

1. $7x-4y=6$
2. $-6x+7y=2$

we will substitute the values of $x$ and $y$ for each pair into both equations.

Check each pair:

1. For (6, 9):

   • Substitute into the first equation: $$7(6)-4(9)=42-36=6\text{(True)}$$
   • Substitute into the second equation: $$-6(6)+7(9)=-36+63=27\text{(False)}$$
   • Is it a solution? No

2. For (-8, 0):

   • Substitute into the first equation: $$7(-8)-4(0)=-56-0=-56\text{(False)}$$
   • Is it a solution? No

3. For (3, 3):

   • Substitute into the first equation: $$7(3)-4(3)=21-12=9\text{(False)}$$
   • Is it a solution? No

4. For (-5, -4):

   • Substitute into the first equation: $$7(-5)-4(-4)=-35+16=-19\text{(False)}$$
   • Is it a solution? No

Summary of results:

• (6, 9): No
• (-8, 0): No
• (3, 3): No
• (-5, -4): No

None of the ordered pairs are solutions to the system of equations.

Answer 2

bro aint no way none of them dont got an answer

Answer 3

Let's reevaluate each ordered pair to check if any of them is a solution to the system of equations properly.

The system of equations is:

1. $7x-4y=6$
2. $-6x+7y=2$

We will substitute each pair $(x,y)$ and check.

Check each pair:

1. For (6, 9):

   • Substitute into the first equation: $$7(6)-4(9)=42-36=6\text{(True)}$$
   • Substitute into the second equation: $$-6(6)+7(9)=-36+63=27\text{(False)}$$
   • Is it a solution? No

2. For (-8, 0):

   • Substitute into the first equation: $$7(-8)-4(0)=-56-0=-56\text{(False)}$$
   • Is it a solution? No

3. For (3, 3):

   • Substitute into the first equation: $$7(3)-4(3)=21-12=9\text{(False)}$$
   • Is it a solution? No

4. For (-5, -4):

   • Substitute into the first equation: $$7(-5)-4(-4)=-35+16=-19\text{(False)}$$
   • Substitute into the second equation: $$-6(-5)+7(-4)=30-28=2\text{(True)}$$
   • Is it a solution? No (it only works for the second equation)

Based on the checks, we confirm:

• (6, 9): No
• (-8, 0): No
• (3, 3): No
• (-5, -4): No

So, indeed, none of these pairs satisfy both equations simultaneously. If there’s a specific calculation you want me to explain or if you have other pairs, let me know!