Question

144. Solve this system of equation.3x - 5y = 4-2.c + 6y = 18

Answer 1

Let:

`\begin{gathered} 3x-5y=4_{\text{ }}(1) \\ -2x+6y=18_{\text{ }}(2) \end{gathered}`

From (1) solve for x:

`x=(4+5y)/(3)_{\text{ }}(3)`

Replace (3) into (2):

`\begin{gathered} -2((4+5y)/(3)_{\text{ }})+6y=18 \\ -(8)/(3)-(10)/(3)y+6y=18 \\ -8-10y+18y=54 \\ 8y=54+8 \\ 8y=62 \\ y=(62)/(8) \\ y=(31)/(4) \\ y=7.75 \end{gathered}`

Replace the value of y into (3):

`\begin{gathered} x=(4+5((31)/(4)))/(3) \\ x=(57)/(4) \\ x=14.25 \end{gathered}`