Question

Given the system of equations, what is the y-coordinate of the solution?
`5x - 4y = 7`
`x = 5 - (3)/(2) y`○ 36/23○ 36/7○ 18/23

Answer 1

We are given the following system of equations

`\begin{gathered} 5x-4y=7 \\ x=5-(3)/(2)y \end{gathered}`

We are asked to find the value of the variable y.

Let us substitute the 2nd equation into the 1st equation and solve for y.

`\begin{gathered} 5x-4y=7 \\ 5(5-(3)/(2)y)-4y=7 \\ 25-(15)/(2)y-4y=7 \\ -(15)/(2)y-4y=7-25 \\ -(23)/(2)y=-18 \\ y=(18\cdot2)/(23) \\ y=(36)/(23) \end{gathered}`

Therefore, the y-coordinate of the solution is 36/23