Question

Solve the system of equations:-18x + 5y = -26 -9x+6y= -6

Answer 1

x=2, y=2

Step-by-step explanation:

Given the system of equations:

`\begin{gathered} -18x+5y=-26\ldots(1) \\ -9x+6y=-6​\ldots(2) \end{gathered}`

To make the coefficient of x the same, multiply equation (1) by 1 and equation (2) by 2:

`\begin{gathered} -18x+5y=-26\ldots(3) \\ -18x+12y=-12​\ldots(4) \end{gathered}`

Subtract to eliminate x: (We always subtract same sign).

`\begin{gathered} -7y=-14 \\ y=-(14)/(-7) \\ y=2 \end{gathered}`

Substitute y=2 into equation (1) to solve for x:

`\begin{gathered} -18x+5(2)=-26 \\ -18x+10=-26 \\ -18x=-26-10 \\ -18x=-36 \\ x=(-36)/(-18) \\ x=2 \end{gathered}`

The solution to the system is: x=2, y=2