(b) 6x-7 y = 25
15x+3y = 42

x=3

y= -1

Step-by-step explanation:

with 1 equation you can solve for 1 variable. With 2 equations you can solve for 2 variables. This is solvable.

6x-7y = 25

15x+3y = 42

first simplify to make easier to work with

6x-7y = 25 can not be factored further

15x+3y = 42 can be divided by 3 on both sides

5x+y = 14

then you have

6x-7y = 25

5x+y = 14

solve by substitution:

isolate y in second equation

5x+y = 14 >    y= 14-5x

put y into first equation

6x-7(14-5x) = 25

6x- 98 --35x =25

6x- 98 +35x =25

41x =123

x=3

to get y, substitute x into equation

5x+y = 14

5(3) +y=14

15+y=14

y=-1

hope this helps !

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

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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