The solution to the system of equations shown is (2, 0).3x  − 2y  = 6  x  + 4y  = 2when the first equation is multiplied by 2, the sum of the two equations is equivalent to 7x  = 14.which system of equations will also have a solution of (2, 0)? 6x  - 4y  = 6  x  + 4y  = 26x  − 4y  = 6  2x  + 8y  = 2x + 4y = 2  7x = 146x  − 4y  = 6  7x  = 14

Your choice should be

This system consists of the second of the given equations and the one you developed that is their sum.

Option C is correct.

Step-by-step explanation:

We use the following result:

When the multiples of the equations in a system is added or subtracted, the resulting equation together with any of the original equation will result in the same answer.

Given equations,

3x − 2y = 6  (1)

x + 4y = 2 (2)

multiply eqn. (1) with 2 and add to (2) we get

2 × ( 3x − 2y ) + x + 4y = 2 × 6 + 2

7x = 14 (3)

So, by result and eqn (2) and (3)

we have the required system of equations

x + 4y = 2

7x = 14

which will also have a solution of (2, 0)

Therefore, Option C is correct.

i can you with this sweetie!

step-by-step explanation:

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.