Question

Using the system of substitution 2x-3y=12 x + y=9

Answer 1

Here! I hope this helps! :) Work is in the picture
x=7.8
y=1.2
(7.8,1.2)

Answer 2

2x - 3y = 12
x + y = 9

x + y = 9

Subtract 'x' to both sides:

y = -x + 9

Plug in -x + 9 for 'y' in the first equation

2x - 3(-x + 9) = 12

Distribute -3:

2x + 3x - 27 = 12

Combine like terms:

5x - 27 = 12

Add 27 to both sides:

5x = 39

Divide 5 to both sides:

x = 7.8

Plug this into any of the two equations to find 'y':

x + y = 9

7.8 + y = 9

Subtract 7.8 to both sides:

y = 1.2

So the solution is (7.8, 1.2).