Question

Given y =
2x+1/4x-3
•Solve for x.
•evaluate x when y = 1

Answer 1

Solve for x:
`x = (3y+1)/(4y-2)`

Evaluate x for y = 1:
`x = 2`

Explanation:

`Original:y=(2x+1)/(4x-3)\\Multiply\ out\ the\ denominator:(4x-3)*y = 2x+1\\Distribute: 4xy - 3y = 2x+1\\Group\ Like\ Terms:4xy-2x = 3y+1\\Factor\ Out\ x: x(4y-2) = 3y+1\\Divide\ to\ get\ x\ alone:x = (3y+1)/(4y-2)\\\\Plug\ in\ the\ value\ for\ y:x = (3(1)+1)/(4(1)-2)\\Multiply:x = (3+1)/(4-2)\\Add:x = (4)/(2)\\Simplify/Divide:x=2`