Question

Julio wants to solve the system shown using the elimination method. Which is the best way to begin?

(x - 12y = 2
-4x + 7y = 12
Add the equations
b. Multiply each term in x - 12y = 2 by 4 and add it to the other original equation.
This system of equations has no solution, so Julio should not do anything.
d. Multiply each term in x - 12y = 2 by 4 and add it to the other original equation.
c.

Answer 1

B. Multiply each term in x - 12y = 2 by 4 and add it to the other original equation.

Explanation:

The expression are two linear equation and can be solved simultaneously

`x - 12y = 2------------------1`

`-4x + 7y = 12----------------------2`

1. we need to multiply each term in eqn 1 by 4 and add it to the other

original equation(2).

`4x - 48y = 8----------------3\\-4x + 7y = 12---------------2\\\\`

Adding both 3 and 2 we have

`4x - 48y = 8----------------3\\-4x + 7y = 12---------------2\\\\\\`

2. once we have gotten the value of y

we then substitute it in any of the equations to solve for x