Question

I don’t understand how to solve itCan you solve elimination using addition and subtraction equations?

Answer 1

Given the system of equations:

$\begin{gathered} x+4y=11\rightarrow(1) \\ x-6y=11\rightarrow(2) \end{gathered}$

We will solve the system by the elimination method

Subtract equation (2) from equation (1)

So,

$\begin{gathered} (x+4y)-(x-6y)=11-11 \\ x+4y-x+6y=0 \\ (x-x)+(4y+6y)=0 \\ 10y=0 \\ y=0 \end{gathered}$

Substitute with (y) into equation (1) to find (x)

$\begin{gathered} x+4\cdot0=11 \\ x=11 \end{gathered}$

So, the answer will be:

$\begin{gathered} x=11 \\ y=0 \\ (x,y)=(11,0) \end{gathered}$