Question

Solve the following system of equations by elimination. What is the value of y? 2x - 5y = 1 --3x + 2y = -18 Oy=-1.5 Oy--3 Oy=3 Oy - 1.5

Answer 1

y = 3

Explanation:

We have following system of equations

`\begin{gathered} 2x\: -\: 5y\: =\: 1 \\ -3x\: +\: 2y\: =\: -18 \end{gathered}`

We can solve the value of y by means of the elimination method, multiplying the first equation by 3 and the second equation by 2, like this:

`\begin{gathered} 6x-15y=3 \\ -6x+4y=-36 \end{gathered}`

We add both equations and solve for y:

`\begin{gathered} 6x-15y-6x+4y=3-36 \\ -11y=-33 \\ y=(-33)/(-11) \\ y=3 \end{gathered}`

The value of y is equal to 3