Question

Решить уравнения 1)(y-7)-(y-4)=2y 2)3x-5+(x-2)=-5 3)4x-(5x-11)=94 4)14x=18-(5+12x) 5)(8x-17)-(15+2x)=-4x 6)10-(3x-16)=(42+5x)+(1-6x) 7)1,8x-(x-1,4)=(0,3x+1,7)=-0,4 8)7(2x+1,9)+x=-1,7 9)6(x+1,6)=5x-1,2 10)11-2.5y=2(5,1-0,5y)

Answer 1

7 я хз как решать. ещё не забудь после каждого уравнения ответ. там написать надо значение корня

Answer 2

To solve the given equations, follow these steps for each one:

1. $(y - 7) - (y - 4) = 2y$

Expanding the parentheses: $y - 7 - y + 4 = 2y$

Combine like terms: $-3 = 2y$

Divide by 2: $y = -\frac{3}{2}$

2. $3x - 5 + (x - 2) = -5$

Expanding the parentheses: $3x - 5 + x - 2 = -5$

Combine like terms: $4x - 7 = -5$

Add 7 to both sides: $4x = 2$

Divide by 4: $x = \frac{1}{2}$

3. $4x - (5x - 11) = 94$

Distribute the negative sign: $4x - 5x + 11 = 94$

Combine like terms: $-x + 11 = 94$

Subtract 11 from both sides: $-x = 83$

Multiply by -1 (to isolate x): $x = -83$

4. $14x = 18 - (5 + 12x)$

First, solve the parentheses: $14x = 18 - 5 - 12x$

Combine like terms: $14x = 13 - 12x$

Add 12x to both sides: $26x = 13$

Divide by 26: $x = \frac{13}{26} = \frac{1}{2}$

5. $(8x - 17) - (15 + 2x) = -4x$

First, solve the parentheses: $8x - 17 - 15 - 2x = -4x$

Combine like terms: $6x - 32 = -4x$

Add 4x to both sides: $10x - 32 = 0$

Add 32 to both sides: $10x = 32$

Divide by 10: $x = \frac{32}{10} = \frac{16}{5}$

6. $10 - (3x - 16) = (42 + 5x) + (1 - 6x)$

First, solve the parentheses: $10 - 3x + 16 = 42 + 5x + 1 - 6x$

Combine like terms: $26 - 3x = 43 - x$

Add 3x to both sides: $26 = 43 - x + 3x$

Combine like terms again: $26 = 43 + 2x$

Subtract 43 from both sides: $2x = -17$

Divide by 2: $x = -\frac{17}{2} = -8.5$

7. $1.8x - (x - 1.4) = 0.3x + 1.7$

First, solve the parentheses: $1.8x - x + 1.4 = 0.3x + 1.7$

Combine like terms: $0.8x + 1.4 = 0.3x + 1.7$

Subtract 0.3x from both sides: $0.8x - 0.3x + 1.4 = 1.7$

Combine like terms: $0.5x + 1.4 = 1.7$

Subtract 1.4 from both sides: $0.5x = 0.3$

Divide by 0.5: $x = \frac{0.3}{0.5} = 0.6$

8. $7(2x + 1.9) + x = -1.7$

Distribute the 7: $14x + 13.3 + x = -1.7$

Combine like terms: $15x + 13.3 = -1.7$

Subtract 13.3 from both sides: $15x = -15$

Divide by 15: $x = -1$