Below you will find the question is broken down into two parts. The first is asking you to solve equations and show your work. The second is asking you to check someone else’s work. Please read instructions and make sure to complete all components. Solve the following equations, show your work for each equation in the three empty boxes below x+2=5 2n+5=n c.5(x+2)-7=3x+5 a) b) c)

Step-by-step explanation:

Equation (1) is :

x+2=5

Subtract 2 from both sides,

x+2-2=5-2

x=3

Equation (2) is :

2n+5=n

Taking like terms together,

2n-n=-5

n=-5

Equation (3) is :

5(x+2)-7=3x+5

⇒5x+10-7=3x+5

taking like terms together,

5x-3x=5-10+7

⇒2x=2

x=1

Hence, x =3, n = -5 and x = 1 is the required answer.

{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