Question

Determine which of the following ordered pairs is the solution of the given system.
x + 3y = 10
2x - y = 6



A. (4, 2)
B. (7, 1)
C. (16, -2)
D. (3, 0)

Answer 1

x + 3y = 10
2x - y = 6

Answer 2

x + 3y = 10---(1)
2x - y = 6 ---(2)

in equation (1)
x=10-3y

Answer 3

put x in equation (2)
2x-y=6
2(10-3y)-y=6
20-6y-y=6
20-7y=6
7y=14
y=2

Answer 4

put y in equation (1)
x+3y=10
x+3(2)=10
x+6=10
x=4

so solution is (x,y)=(4,2)