Answer:
1. (3,4) 2. (-1,2)
Step-by-step explanation:
1. We can solve this simultaneously:
2x + 3y = 18
-2x + 5y = 14 - we have to add the two equations
8y = 32
y = 4
Then we substitute y into one of the equations to get the value of x:
2x + 12 = 18
2x = 6
x = 3
So the answer is (3,4)
2. We can also solve this simultaneously:
3x + 4y = 5 - multiply this equation by 2
2x + 7y = 12 - multiply this equation by 3
6x + 8y = 10
6x + 21y = 36 - we subtract the equation above from this one
13y = 26
y = 2
Then we substitute y into one of the equations to get the value of x:
3x + 8 = 5
3x = -3
x = -1
So the answer is (-1,2)
