Select the best possible first step to solving the system by first eliminating the y variable. 4x − 5y = 4 3x 2y = −20 (1 point) Multiply the first equation by −2, and multiply the second equation by 5. Multiply the first equation by 2, and multiply the second equation by −5. Multiply the first equation by 2, and multiply the second equation by 5. None of the above

Respuesta :

Answer:

C) Multiply the first equation by 2, and multiply the second equation by 5.

Step-by-step explanation:

Given equations are :

4x − 5y = 4

and

3x+2y = −20

Now we need to select the best possible first step to solving the system by first eliminating the y variable. Where given choices of the possible steps are:

A) Multiply the first equation by −2, and multiply the second equation by 5.

B) Multiply the first equation by 2, and multiply the second equation by −5.

C) Multiply the first equation by 2, and multiply the second equation by 5.

D) None of the above

Since we need to eliminate y, then we must make coefficients of y equal in both equations. Easiest way is to multiply coefficient of first equation into 2nd equation and multiply coefficient of y from 2nd equation into first equation. Make sure that their sign is oppsite.

Hence correct choice is C)Multiply the first equation by 2, and multiply the second equation by 5.