Question

3x + 4y = -35x + 3y = 6

Answer 1

Step 1

Given;

`\begin{gathered} 3x+4y=-3---(1) \\ 5x+3y=6---(2) \end{gathered}`

Required; To find the system of equations.

Step 2

`\begin{gathered} From\text{ equation 1; } \\ 3x=-3-4y \\ x=(-3-4y)/(3) \end{gathered}`
`\begin{gathered} Substitute\text{ in equation 2} \\ 5((-3-4y)/(3))+3y=6 \\ 5(-3-4y)+9y=18 \\ \end{gathered}`
`\begin{gathered} -15-20y+9y=18 \\ -11y=18+15 \\ y=(33)/(-11) \\ y=-3 \end{gathered}`

Step 3

Find the value of x

`\begin{gathered} x=(-3-4y)/(3) \\ x=(-3-4(-3))/(3) \\ x=(9)/(3)=3 \end{gathered}`

Answer;

`x=3,y=-3`