Question

Y=3x2y-5x=4 use the substitution method

Answer 1

We are given the system

`\begin{gathered} y=3x \\ 2y\text{ -5x=4} \end{gathered}`

and told to use substitution method to solve the system. We take the first equation and replace it in the second one. So we get

`2(3x)\text{ -5x=4}`

if we operate on the left hand side, we get

`2(3x)\text{ -5x=6x -5x=x}`

so we have the equation

`x=4`

now, we replace this value in the first equation. So we get

`y=3x=3(4)=12`

so the solution of the system is x=4 and y=12