I need help solving these equations: 1st set( u+2v=3 & 4u+8v=12) and 2nd set (x+2y=-7 & 2x-3y=0)

Question

I need to come up with two ordered pairs for each set.

Answer 1

Can you please ensure that you have the numbers for the first set correct?

 

The second set, you can solve by substitution:

 

x + 2y = -7

2x - 3y = 0

 

Solve for x in first equation:

x = -2y -7

 

Plug in to second equation:

2 (-2y-7) -3y = 0

-4y -14 - 3y = 0

-7y -14 = 0

-7y = 14

y = -2

 

Plug back into first equation:

x = -2y - 7 = -2(-2) -7 = 4-7 = -3

 

x = -3, y = -2

(-3, -2)

 

Ordered pair (-3, -2)