Select the best possible first step to solving the system by first eliminating the x variable.

3x + 5y = 1
2x + 4y = −4

Multiply the first equation by 2, and multiply the second equation by 3.
Multiply the first equation by −2, and multiply the second equation by 3.
Multiply the first equation by −2, and multiply the second equation by −3.
None of the above

Option C is Correct

Step-by-step explanation:

Given System is

3x + 5y =  1

2x + 4y  = −4

Multiply the first equation by −2, and multiply the second equation by 3

we get

-6x-10y = -2 (i)

6x+12y = -12 (ii)

then we add both equations we get

2y = -14

y = -7

now put y = -7 in euation one we get

-6x-10(-7) =14

-6x+70=14

subtracting 70 from both sides we get

-6x=-56

dividing (-6) both sides we get

x=56/6 or x =28/3

so here is our solution

(x,y)=(28/3 , -7)

answer.

Option (2)

Step-by-step explanation:

Option (1)

In the interval [-1, 1] Or -1 ≤ x ≤ 1, value of the function will be represented by the y-values.

Since, the graph is below x-axis in the interval -1 ≤ x ≤ 0.5, function will be negative.

And in the interval 0.5 ≤ x ≤ 1, graph is above the x-axis, function will be positive.

Option (2)

In this option, graph is below the x-axis in the interval [-1, 1].

Therefore, the given graph is negative in this interval.

Option (3)

In this graph, function is negative and positive both in the interval -1 ≤ x ≤ 1.

Option (4)

In this graph function is completely above the x-axis in the interval -1 ≤ x ≤ 1.

So this function is positive in the interval [-1, 1].

Therefore, Option (2) will be the answer.