Solve each equation for y (get into slope-intercept/y=mx + b form): a) 10x + 5y = 20 b) 3x – 2y = 10 + 4x Don’t forget to explain how

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Solve each equation for y (get into slope-intercept/y=mx + b form): a) 10x + 5y = 20 b) 3x – 2y = 10 + 4x
Don’t forget to explain how you got the answers.

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Tài Đức 4 years 2021-08-08T17:29:40+00:00 1 Answers 12 views 0

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    2021-08-08T17:31:05+00:00

    Answer:

    see below

    Step-by-step explanation:

    We want to solve each equation for y, so y must be alone on one side of the equation.

    a) 10x + 5y = 20

    Subtract 10x from both sides.

    5y = 20 – 10x

    Place the x term in front to follow  y = mx + b form.

    5y = -10x + 20

    We want to isolate y completely, so divide both sides by 5. On the right side, be sure to divide each component by 5.

    5y/5 = -10/5x + 20/5

    y = -2x + 4

    This equation is in slope-intercept form.

    b) 3x – 2y = 10 + 4x

    We can see that y is negative in this original equation. Let’s add 2y to both sides to make y positive.

    3x = 10 + 4x + 2y

    Now we want to isolate y, so subtract 4x from both sides.

    3x – 4x = 10 + 2y

    Simplify.

    -x = 10 + 2y

    Isolate y further by subtracting 10 from both sides.

    -x – 10 = 2y

    Again, we want to isolate y completely, so divide both sides by 2. On the left side, be sure to divide each component by 2.

    -x/2 – 10/2 = 2y/2

    -1/2x – 5 = y

    This looks backwards (although it is in slope-intercept form), so let’s rearrange it just to make it more clear.

    y = -1/2x – 5

    This equation is in slope-intercept form.

    Hope this helps!

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