Question

What step should be taken to eliminate the x-variable in the system shown?

3x-3y = 11
3x + 10y=3

Answer 1

x = 3.05 and y = -0.615

Explanation:

The given equations are :

3x-3y = 11 ...(1)

3x + 10y = 3 ...(2)

Subtract equation (2) from (1).

3x-3y-(3x + 10y) = 11-3

-3y-10y = 8

-13y = 8

y = -0.615

Put the value of y in equation (1).

3x-3(-0.615) = 11

3x = 11 -1.845

3x = 9.155

x = 3.05

Hence, the values of x and y are 3.05 and -0.615.