The elimination method is ideal for solving this system of equations. By which number must you multiply the second equation to eliminate the y-variable, and what is the solution for this system? x + 3y = 42 2x − y = 14

Given:

The system of equations is

      ...(i)

       ...(ii)

To find:

The number that must be multiplied with the second equation to eliminate the y-variable.

Solution:

Coefficient of y variable in equation (i) is 3 and in equation (ii) is -1.

To eliminate y-variable the absolute value of coefficients of y-variables should be same.

So, we need to multiply the second equation by 3 to eliminate the y-variable

Multiplying equation (ii) by 3, we get

     ...(iii)

Adding (i) and (iii), we get

Divide both sides by 7.

Put x=12 in (i).

Divide both sides by 10.

Therefore, x=12 and y=10.

is should be y = 5x

step-by-step explanation:

correct me if im wrong

9x