Mathematics, 20.09.2019 10:10 smokey19

i'm confused..
solve each equation for y.
show work

i'm confused..solve each equation for y. show work

Answers: 1

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Answer from: holycow7868

b. y = 2/3x +5c. y = -3 or -1/2

Step-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 -3

Find 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 -15

Divide 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) = 0

The 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 equation

For 2y +1 = 0:

... 2y +1 = 0

... y +1/2 = 0 . . . . divide by 2

... y = -1/2 . . . . . . add -1/2

The solutions are y = -3 or y = -1/2.

Answer from: Quest

a net is a diagram that shows a “flattened” view of a solid. in a net, each face and base is shown with all of its dimensions. a net can also serve as a pattern to build a three-dimensional solid.

a pyramid is a three-dimensional object with a base that is a polygon and triangular faces that meet at one vertex.

" the net of a triangular pyramid consists of four triangles. the base here we are given of the pyramid is a equilateral triangle, and the lateral faces are also triangles "

Answer from: Quest

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

x=5

step-by-step explanation:

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solve each equation for y.
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