Answer: The solution is (1, 2)
Step-by-step explanation:
The given equations are
5x - 4y = - 3
x - 6y = - 11
We would apply the method of substitution. From the second equation, if we add 6y to both sides, it becomes
x - 6y + 6y = 6y - 11
x = 6y - 11
We would substitute x = 6y - 11 into the second equation. It becomes
5(6y - 11) - 4y = - 3
By expanding the parentheses, it becomes
30y - 55 - 4y = - 3
By collecting like terms, we have
30y - 4y = - 3 + 55
26y = 52
Dividing both sides by 26, we have
26y/26 = 52/26
y = 2
Substituting y = 2 into x = 6y - 11, we have
x = 6(2) - 11
x = 12 - 11
x = 1
The solution is (1, 2)