Solve the system of linear equations by elimination

5х + 6у = 50
x - 6у = - 26

{x,y} = {4,5}

Step-by-step explanation:

// Solve equation [2] for the variable  x

 [2]    x = 6y - 26

// Plug this in for variable  x  in equation [1]

  [1]    5•(6y-26) + 6y = 50

  [1]    36y = 180

// Solve equation [1] for the variable  y

  [1]    36y = 180

  [1]    y = 5

// By now we know this much :

   x = 6y-26

   y = 5

// Use the  y  value to solve for  x

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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