Use the cards below to create a list of steps, in order, that will solve the following equation. 3(x+6)^2=75

Step-by-step explanation:

divide both side by 3

3(x+6)²/3=75/3

(x+6)²=25

taking sq root both side

√(x+6)²=√25

x+6=5

subtract 6 both side

x+6-6=5-6

x= -1

or

Step-by-step explanation:

Equation given:

Divide both sides by 3    

Take the square root both sides

Subtract 6 from both sides

You probably expected that, but consider:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

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step-by-step explanation: