Answer:
x, y = 7, 1
Step-by-step explanation:
x+6y=13 ............ (i)
2x+y=15 ........... (ii)
We will apply substitute method.
From equation (i), we can get,
x+6y=13
or, x = 13 - 6y .......... (iii)
Putting the value of x in equation (ii), we can get,
2x+y=15
or, 2 × (13 - 6y) + y = 15
or, 26 - 12 y + y = 15 [multiplying]
or, -11 y = 15 - 26 [Subtracting 26 from both the sides]
or, -11 y = -11
or, [(-11 y) ÷ (-11)] = [(-11) ÷ (-11)] [Dividing both the sides by -11]
or, y = 1
Therefore, the value of y = 1
Putting y = 1 in equation (iii), we get,
x = 13 - 6y
or, x = 13 - 6 × 1
or, x = 13 - 6
or, x = 7
Therefore, the value of x = 7.
Answer: x, y = 7, 1