Question

3. two lines, a and b, are represented by the following equations:

line a: 2x y = 6
line b: x y = 4

which statement is true about the solution to the set of equations?

a. it is (2, 2).

b. there are infinitely many solutions.

c. it is (4, 0).

d. there is no solution.

Answer 1

2x + y = 6 . . . . . (1)
x + y = 4 . . . . . (2)

(1) - (2) => x = 2

From (2): 2 + y = 4 => y = 4 - 2 = 2

Therefore, the solution is (2, 2)