Consider the following linear system.

k= 10

Step-by-step explanation:

2x - 5y = 15

ky = 20 +4x

Solve the first equation for  y

-5y = -2x +15

Multiply by -2

10y = 4x - 30

If k = 10 then the slopes are the same, but the y intercepts are different.

The lines are parallel.  They will never intersect, and they have no solution

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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