Question

Given the system of equations, what is the y-coordinate of the solution?$5x - 4y = 7$$x = 5 - \frac{3}{2} y$○ 36/23○ 36/7○ 18/23

Answer 1

We are given the following system of equations

$\begin{gathered} 5x-4y=7 \\ x=5-\frac{3}{2}y \end{gathered}$

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.

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

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