In this page solution of equations1 and 2 we are going to see solution for first and second questions.
Question 1:
Solve the equation 7 (x - 3) + 2 (2x - 5) - 3(x - 5) = 8
Solution:
7 (x - 3) + 2 (2x - 5) - 3(x - 5) = 8
7 x - 21 + 4 x - 10 - 3 x + 15 = 8
7 x + 4 x - 3 x - 21 - 10 + 15 = 8
11 x - 3 x - 31 + 15 = 8
8 x - 16 = 8
8 x = 8 + 16
8 x = 24
x = 24/8
x = 3
Checking:
7 (x - 3) + 2 (2x - 5) - 3(x - 5) = 8
7 (3 - 3) + 2 (2(3) - 5) - 3 (3 - 5) = 8
7 (0) + 2 (6 - 5 ) - 3(-2) = 8
0 + 2 (1) + 6 = 8
2 + 6 = 8
8 = 8
Question 2:
Solve the equation 4 x - (2 + 4x) - 2 (x - 1) = -8 (x -3)
Solution:
4 x - (2 + 4x) - 2 (x - 1) = -8 (x -3)
4 x - 2 - 4 x - 2 x + 2 = - 8 x + 24
4 x - 4 x - 2 x - 2 + 2 = - 8 x + 24
- 2 x = - 8 x + 24
- 2 x + 8 x = 24
6 x = 24
x = 24 /6
x = 4
We will check the answer by substituting the value of x in the given equation.
Checking:
4 x - (2 + 4x) - 2 (x - 1) = -8 (x -3)
4 (4) - (2 + 4(4)) - 2 (4 - 1) = -8 ( 4 -3)
16 - (2 + 16) - 2 (3) = - 8(1)
16 - 18 - 6 = - 8
16 - 24 = - 8
-8 = - 8
8 = 8
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