The equation can be rewritten as: (in Math, it is advised that the order of terms be arranged. In this equation, the term 7b comes before constant 9 which is the correct arrangement.)
7b - 9 = 8b - 7
To solve, transpose 8b to the left and 9 to the right so the equation becomes:
7b -8b = 9 - 7
-b = 2
multiply both sides by -1 (to balance the equation) to make b positive:
-1(-b) = -1(2)
B= -2
To check:
7b - 9 = 8b - 7
7(-2) - 9 = 8(-2) - 7
-14 -9 = -16 -7
-23 = -23
The answers in both sides of the equation is equal therefore, YOU have derived to a CORRECT answer...
-58
6a + (7b - 4a - 8b) = (6a - 4a) + (7b - 8b) = 2a - b
4b plus 7b plus 5 will equal 11b plus 5. When you have two variables that are the same you can add the two numbers with the variables remaining the same.
7b + 16 = 5b + 247b - 5b = 24 - 162b = 8b = 4
11a+7b-(3b-2a)
If: 6b+21 = 7b-21 Then: 6b-7b = -21-21 And: -b = -42 So: b = 42
-58
-12
7a plus 2b plus 3a plus 5b is equal to 10a plus 7b.
6a + (7b - 4a - 8b) = (6a - 4a) + (7b - 8b) = 2a - b
4b plus 7b plus 5 will equal 11b plus 5. When you have two variables that are the same you can add the two numbers with the variables remaining the same.
7b + 16 = 5b + 247b - 5b = 24 - 162b = 8b = 4
-7 7b + 15 = (-34) 7b = (-34) - 15 7b =(-49) b = (-49) / 7 b= (-7)
It is an equation and the value of b is 3
3b -2 =7 b+4
2 - 3b = 7b + 12 Let us introduce equal terms (3b - 12 in this specific case) on each side (left and right) of the equal sign, so that the 'b' term is all alone on one side of the equal sign. 2 - 3b + (3 b - 12) = 7b + 12 + (3 b - 12) -10 = 10b b = -1 =============================
2a + 7b = -13a - 7b = -5The system of equations can be solved by elimination:2a + 3a = -65a = -6a = -6/5substitute the value of a in any of the two original equations to find the value of b:2(-6/5) + 7b = -1-12/5 + 1 = -7b-7/5 = -7bb= 1/5