The solution is (2, -1)
Step-by-step explanation:
5x + y = 9 ....(1)
3x + 2y = 4 ....(2)
Using susbtitution method:
from equation 1, we will make y the subject of formula
y = 9 - 5x
substitute for y in equation 2:
3x + 2(9 - 5x) = 4
3x + 2(9) -2(5x) = 4
3x + 18 - 10x = 4
-7x + 18 = 4
-7x = 4 - 18
-7x = -14
Divide both sides by -7:
-7x/-7 = -14/-7
x = 2
substitute for x in equation (1):
5(2) + y = 9
10 + y = 9
y = 9 - 10
y = -1
The solution (x, y) is (2, -1)