Solve the system of equations algebraically
4x-2y=4
6x-4y=6
a. no solution
b. many solutions
c. (0,1)
d. (1,0)

The correct answer is option d. (1,0)

Step-by-step explanation:

It is given that,

4x-2y=4

6x-4y=6

We can solve the system of equations algebraically

To solve the equations

4x-2y=4     (1)

⇒ 2x - y = 2 (2)

6x-4y=6    (3)

⇒ 3x - 2y = 3   (4)

eq(2) * 2 ⇒ 4x - 2y  = 4  (5)

eq(5) - eq(4) ⇒

4x - 2y = 4

3x - 2y  = 3

x + 0 = 1

Substitute the value of x in eq (1)

(4*1) - 2y = 4

4 - 2y = 4

2y= 0

y = 0

Therefore the solution of this system of equations is (1,0)

The correct answer is option d. (1,0)