Question

-8x+3y= 313x-3y= -18x=y=

Answer 1

Given the pair of simultaneous equation;

`\begin{gathered} -8x+3y=3 \\ 13x-3y=-18 \end{gathered}`

We are going to use the method of elimination to solve this.

We will be eliminating the variable y first, since it has the same co-efficient in the two(2) equations.

Thus, we have:

`\begin{gathered} -8x+13x=3-18 \\ 5x=-15 \\ x=-(15)/(5) \\ x=-3 \end{gathered}`

To solve for y, we are going to substitute for x = -3 into any of the two(2) equations.

Thus, we have:

`\begin{gathered} \text{from equation i}i) \\ 13x-3y=-18 \\ 13(-3)-3y=-18 \\ -39-3y=-18 \\ -3y=-18+39 \\ -3y=21 \\ y=-(21)/(3) \\ y=-7 \end{gathered}`