Question

1)4(3y-1)=2(2y-2) 2)7(2x-3)-x=3x-11 3)-100+5(y+10)=0 4)12-(y-2)=3 5)6-3(x+1)=7-x 6)7x-3=-30-2x 7)5,4-1,5y=0,3y-3,6 8)2(2y-4)=(3y+1) 9)6,8-1,3x=0,6x-2,7 10)5,6-3(2-0,4x)=0,4(4x-1)

Answer 1

1)12у-4=4у-4
12у-4у=4-4
8у=0
у=0
2)14х-21-х=3х-11
10х=10
х=0
3)-100+5у+50=0
5у=-50
у=-10
4)12-у+2=3
-у= -14+3
-у=-11
у=11
5)6-3х-3=7-х
-2х=4
х= -2
6) 7х-3=-30-2х
9х=-27
х=3
8)2(2у-4)=(3у+1)
4у-8=3у+1
у=9

Answer 2

Let's solve each of the given equations:

1. $4(3y-1) = 2(2y-2)$ Distribute the numbers: $12y - 4 = 4y - 4$ Move all terms involving $y$ to one side: $12y - 4y = -4 + 4$ Combine like terms: $8y = 0$ Divide by 8: $y = 0$

2. $7(2x-3) - x = 3x - 11$ Distribute the numbers: $14x - 21 - x = 3x - 11$ Combine like terms: $13x - 21 = 3x - 11$ Move all terms involving $x$ to one side: $13x - 3x = -11 + 21$ Combine like terms: $10x = 10$ Divide by 10: $x = 1$

3. $-100 + 5(y+10) = 0$ Distribute the number: $-100 + 5y + 50 = 0$ Combine like terms: $5y - 50 = 100$ Move all terms involving $y$ to one side: $5y = 100 + 50$ Combine like terms: $5y = 150$ Divide by 5: $y = 30$

4. $12 - (y-2) = 3$ Distribute the negative sign: $12 - y + 2 = 3$ Combine like terms: $-y + 14 = 3$ Move all terms involving $y$ to one side: $-y = 3 - 14$ Combine like terms: $-y = -11$ Multiply by -1 to isolate $y$: $y = 11$

5. $6 - 3(x+1) = 7 - x$ Distribute the numbers: $6 - 3x - 3 = 7 - x$ Combine like terms: $-3x + 3 = -x + 7$ Move all terms involving $x$ to one side: $-3x + x = 7 - 3$ Combine like terms: $-2x = 4$ Divide by -2: $x = -2$

6. $7x - 3 = -30 - 2x$ Move terms involving $x$ to one side: $7x + 2x = -30 + 3$ Combine like terms: $9x = -27$ Divide by 9: $x = -3$

7. $5.4 - 1.5y = 0.3y - 3.6$ Move terms involving $y$ to one side: $1.5y + 0.3y = 5.4 + 3.6$ Combine like terms: $1.8y = 9$ Divide by 1.8: $y = 5$

8. $2(2y-4) = 3y + 1$ Distribute the number: $4y - 8 = 3y + 1$ Move all terms involving $y$ to one side: $4y - 3y = 1 + 8$ Combine like terms: $y = 9$

9. $6.8 - 1.3x = 0.6x - 2.7$ Move terms involving $x$ to one side: $1.3x + 0.6x = 6.8 + 2.7$ Combine like terms: $1.9x = 9.5$ Divide by 1.9: $x = 5$

10. $5.6 - 3(2-0.4x) = 0.4(4x-1)$ Distribute and simplify: $5.6 - 6 + 1.2x = 1.6x - 0.4$ Combine like terms: $1.2x - 0.4 = 1.6x - 0.4$ Move all terms involving $x$