Answer:
The correct option is c.
Step-by-step explanation:
The given equations are
[tex]4x-2y=8[/tex] ....(1)
[tex]2x-4y=4[/tex] ....(2)
Multiply equation (1) by 2 and multiply equation (2) by 4.
[tex]8x-4y=16[/tex] ....(3)
[tex]8x-16y=16[/tex] ....(4)
Subtract equation (4) from equation (3).
[tex]8x-4y-8x+16y=16-16[/tex]
[tex]12y=0[/tex]
[tex]y=0[/tex]
Put this value in equation (1).
[tex]4x-2(0)=8[/tex]
[tex]4x=8[/tex]
[tex]x=2[/tex]
The solution of the system of equations is (2,0).
Therefore option c is correct.
Answer:
Option c. (2,0)
Step-by-step explanation:
(1) 4x-2y=8
(2) 2x-4y=4
Using the method of elimination: Multiplying the second equation by -2:
(2) -2(2x-4y)=-2(4)
Applying the distributive property:
-2(2x)-2(-4y)=-8
-4x+8y=-8
Adding this equation with the first equation:
-4x+8y+4x-2y=-8+8
6y=0
Solving for "y": Dividing both sides of the equation by 6:
6y/y=0/6
y=0
Replacing y=0 in the second equation:
(2) 2x-4(0)=4
2x-0=4
2x=4
Solving for "x": Dividing both sides of the equation by 2:
2x/2=4/2
x=2
The solution is (x,y)=(2,0)
