Question

Solve the system of linear equations by substitution 3y=-2x and y=x-5

Answer 1

Step 1

Given;

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

Required; To solve the system of linear equations

Step 2

Find the value of y and x

`\begin{gathered} Substitute\text{ 2 into 1} \\ 3(x-5)=-2x \\ 3x-15=-2x \\ 5x=15 \\ (5x)/(5)=(15)/(5) \\ x=3 \end{gathered}`
`\begin{gathered} From\text{ 2, y=x-5} \\ y=3-5=-2 \end{gathered}`

Answers;

`x=3,\text{ y=-2}`