HELPPPP PLEASE! EASY MEDAL.

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

4x - 2y = 6
2x + y = 5

a) -4x - 2y = 10
-4y = 4

B) -4x - 5y = -1
-7y = 5

C) 3x + 2y = 6
7x = 12

D)4x + 2y = 10
8x = 16

Question

HELPPPP PLEASE! EASY MEDAL.

Choose the equivalent system of linear equations that will produce the same solution as the one given below.

4x - 2y = 6
2x + y = 5


a) -4x - 2y = 10
-4y = 4

B) -4x - 5y = -1
-7y = 5

C) 3x + 2y = 6
7x = 12

 D)4x + 2y = 10
8x = 16

wiggler · Answer

Starting with the original equations, taking 2 of the second eqn away from the first:
$$4x-2y-2(2x+y)=6-2(5)$$
$$-4y=-4$$
$$y=1$$
And putting that into the second equation, x=1

wiggler · Answer

Sorry, x=2

wiggler · Answer

So putting these values for x and y into the given equations, we find that D is the only one that works.