Question

Solve this system of equations byusing the elimination method.4x + y = 6-5x - 2y = -3(?], 1)-

Answer 1

(3, -6)

Explanation:

We have the following system of equations:

`\begin{gathered} 4x+y=6 \\ -5x-2y=-3 \end{gathered}`

We must solve by the elimination method, to do this we must multiply the first equation by 2 and then add both equations, to eliminate the variable y, just like this:

`\begin{gathered} 2\cdot(4x+y=6)\rightarrow8x+2y=12 \\ \text{ Therefore:} \\ 8x+2y-5x-2y=12-3 \\ 3x=9 \\ x=(9)/(3) \\ x=3 \end{gathered}`

Knowing the value of x, we can calculate the value of y, substituting in the first equation:

`\begin{gathered} 4\cdot3+y=6 \\ y=6-12 \\ y=-6 \end{gathered}`

Therefore, the solution of the system is (3, -6)