Solve the system of equations algebraically.
4x-2y=4
6x-4y=6

a. no solution
b. many solutions
c. (0,1)
d. (1,0)

Option (d) is correct.

(1, 0) is the solution of the given system of equation.

Step-by-step explanation:

Consider the given system of equation

4x - 2y = 4    (1)

6x - 4y = 6   (2)

We have to solve the system algebraically ,

We will solve it by elimination method,

Multiply equation (1) by 2, we get,

(1) ⇒ 8x - 4y = 8        (3)

Subtract equation (2) from (3) , we get,

8x - 4y - (6x - 4y) = 8 - 6

8x - 4y - 6x + 4y = 2

8x - 6x = 2

⇒ x = 1

Substitute x = 1 in (1) and solve for y , we get,

⇒ 4x - 2y = 4 ⇒ 4 (1) - 2y = 4 ⇒ 2y = 4 - 4  ⇒ 2y = 0 ⇒ y = 0

Thus,  (1, 0) is the solution of the given system of equation.

Option (d) is correct.

what are the answear choices to the question.

step-by-step explanation:

b. 2 and 4

step-by-step explanation: