NUMBER 1
Elimination of x to find y
2x + 3y = 1
2x + y = -9
------------------ - (substract)
2y = 10
y = 5
Elimination of y to find x
2x + 3y = 1 (multiply 1)
2x + y = -9 (multiply 3)
---------------------------------
2x + 3y = 1
6x + 3y = -27
------------------ - (substract)
-4x = 28
x = -7
NUMBER 2
Elimination of y to find x
10x - 2y = 24
6x + 2y = 8
----------------- + (add)
16x = 32
x = 2
Elimination x to find y
10x - 2y = 24 (multiply 3)
6x + 2y = 8 (multiply 5)
---------------------------------
30x - 6y = 72
30x + 10y - 40
-------------------- - (substract)
-16y = 112
y = -7
NUMBER 3
Eliminate y to find x
x - 4y = 1
2x + 4y = 26
---------------- + (add)
3x = 27
x = 9
Eliminate x to find y
x - 4y = 1 (multiply 2)
2x + 4y = 26 (multiply 1)
-------------------------------
2x - 8y = 2
2x + 4y = 26
-------------------- - (substract)
-12y = -24
y = 2
NUMBER 4
Elimination of y to find x
x + y = 6
x - y = 2
------------ + (add)
2x = 8
x = 4
Elimination of x to find y
x + y = 6
x - y = 2
-------------- - (substract)
2y = 4
y = 2
NUMBER 5
Elimination of q to find p
p - q = 8
2p - q = 19
--------------- - (substract)
-p = -11
p = 11
Elimination of p to find q
p - q = 8 (multiply 2)
2p - q = 19 (multiply 1)
------------------------------
2p - 2q = 16
2p - q = 19
------------------ - (substract)
-q = -3
q = 3