Question

1)5-2ax=2(7+x) 2)(8-3ax):2=(8-ax):6 3)7ax-56x+5=04)3ax+21x-7=0

Answer 1

Если я правильно поняла задание, то решение такое.

Answer 2

Equation 1: 5 - 2ax = 2(7 + x) + 2(8 - 3ax) / 2 = (8 - ax) / 6 + 3

Let's solve the equation step by step:

1) Distribute the multiplication on both sides of the equation:

5 - 2ax = 14 + 2x + 16 - 6ax / 2 = (8 - ax) / 6 + 3

Simplify:

5 - 2ax = 30 - 4ax / 2 = (8 - ax) / 6 + 3

2) Combine like terms on both sides of the equation:

-2ax + 2ax = 30 - 5 - 4ax + ax / 6 = 8 / 6 + 3

Simplify:

0 = 25 - 3ax / 6 = (8 - ax) / 6 + 3

3) Simplify further:

0 = 25 - 3ax / 6 = (8 - ax) / 6 + 3

Multiply through by 6 to eliminate the fractions:

0 = 150 - 18ax = 8 - ax + 18

4) Combine like terms:

18ax + ax = 158 - 18

19ax = 140

5) Divide by 19 to solve for x:

ax = 140 / 19

x = 140 / (19a)

So the solution to the equation is x = 140 / (19a).

Equation 2: 7ax - 56x + 5 = 0

To solve this equation, we can use the quadratic formula:

1) Identify the coefficients of the equation:

a = 7a b = -56 c = 5

2) Apply the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

x = (-(-56) ± sqrt((-56)^2 - 4(7a)(5))) / (2(7a))

Simplify:

x = (56 ± sqrt(3136 - 140a)) / (14a)

So the solution to the equation is x = (56 ± sqrt(3136 - 140a)) / (14a).

Equation 3: 3ax + 21x - 7 = 0

To solve this equation, we can factor out x:

1) Factor out x:

x(3a + 21) - 7 = 0

2) Simplify:

x(3a + 21) = 7

3) Divide both sides by (3a + 21):

x = 7 / (3a + 21)

So the solution to the equation is x = 7 / (3a + 21).