Sagot :
Linear equation and inequality
16. A
17. C
18. B
19. A
20. D
SOLUTION:
16.) A linear equation: 2x + 3 = 5
2x + 3 = 5
2x + 3 - 3 = 5 - 3
2x = 2
2x/2 = 2/2
x = 1 ✔️
====================================
17.) A linear inequality: 5x > - 10
5x > - 10
5x/5 > - 10/5
x > - 2 ✔️
====================================
18.) What is the solution to the equation:
7 (x + 3) = 4 (x - 6) ?
(7)(x) + (7)(3) = (4)(x) + (4)(-6)
7x + 21 = 4x + - 24
7x + 21 = 4x - 24
7x + 21 - 4x = 4x - 24 - 4x
3x + 21 = - 24
3x = - 45
3x/3 = - 45/3
x = -15
- 15 ✔️
====================================
19.) Solve 3 (5x + 4) - 20 = 13x - 4
(3)(5x) + (3)(4) + - 20 = 13x + - 4
15x + 12 + - 20 = 13x + - 4
(15x) + (12 + - 20) = 13x - 4
15x + - 8 = 13x - 4
15x - 8 = 13x - 4
15x - 8 - 13x = 13x - 4 - 13x
2x - 8 = - 4
2x - 8 + 8 = - 4 + 8
2x = 4
2x/2 = 4/2
x = 2 ✔️
=====================================
20.) Solve -8 + 22 = 13x - 5 - 12x
- 8 + 22 = 13x + - 5 + - 12x
(-8 + 22) = (13x + - 12x) + (-5)
14 = x + - 5
14 = x - 5
x - 5 = 14
x - 5 + 5 = 14 + 5
x = 19 ✔️
// #CarryOnLearning