Question

Solve for x and y. y=-1/3x+4. y=2/3x+1

Answer 1

Given the system of equations:

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

Equate the values of y:

`-(1)/(3)x+4=(2)/(3)x+1`

We solve the equation for x:

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

Next, use the value of x=3 to find y:

`\begin{gathered} y=-(1)/(3)(3)+4 \\ y=-1+4 \\ y=3 \end{gathered}`

The values of x and y are 3 and 3 respectively.