Q:

PLEASE HELP!I'm confused..Solve each equation for y.please show work

Accepted Solution

A:
Answer:b. y = 2/3x +5c. y = -3 or -1/2Step-by-step explanation:b. The particualar steps for solving a linear equation such as this may vary from one equation to another. In general, you want to put all the y-terms on one side of the equal sign and everything else on the other side. Here's how we'll do that in this case.Use the distributive property to eliminate parentheses.... 6x -3y +12 = 4x -3Find the unwanted terms on the side of the equation where y is, then add their opposite. In this case, we're adding -(6x+12)... -3y = (4x -3) -(6x +12) = -2x -15Divide by the coefficient of y.... y = -2x/(-3) -15/(-3)... y = 2/3x +5____c. This is a 2nd-degree (quadratic) equation with y as its only variable. The factor (2y+1) appears in both terms so we can use the distributive property to factor it out. Then the equation becomes ...... (y +3)(2y +1) = 0The zero product rule tells us this product will be zero only when one or the other of the factors is zero. This fact helps us find the values of y that are the solution to the equation.For y+3 = 0:... y + 3 = 0... y = -3 . . . . . . add -3 to both sides of the equationFor 2y +1 = 0:... 2y +1 = 0... y +1/2 = 0 . . . . divide by 2... y = -1/2 . . . . . . add -1/2The solutions are y = -3 or y = -1/2.