Question

For the equation −2 + 3 = 6 a. Find y when x is 3b. Find x when y is 4

Answer 1

Given equation,

$-2x+3y=6$

(a) Find y when x is 3.

$\begin{gathered} -2\times(3)+3y=6 \\ -6+3y=6 \\ 3y=12 \\ y=4 \end{gathered}$

(b) Find x when y is 4.

$\begin{gathered} -2x+3y=6 \\ -2x+3\times4=6 \\ -2x+12=6 \\ -2x=-6 \end{gathered}$

Thus, the value of x is

$\begin{gathered} 2x=6 \\ x=3 \end{gathered}$