What is the solution of the following system of equations 5x+7y=3, 2x=-3y+1

X = 2 and y = -1

Step-by-step explanation:

add 3y to both sides of 2x = -3y + 1

2x + 3y = 1

5x + 7y = 3

multiply (2x + 3y = 1) by -5 and (5x + 7y =3) by 2

-10x - 15y = -5

10x + 14y = 6

-y = 1

y = -1

plug in y

2x = -3(-1) + 1

2x = 4

divide by 2

x = 2

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above