Question

2). 7(х + 7) = 10х 3). 3(х +8) = - 3х 4). (45 - у) + 8 = 28 5). 5(х - 5) = - 8х + 1

Answer 1

Пошаговое объяснение:

7(×+7)=10×

7×+49=10×

7×-10×=49

-3×=49

×=49/3

3(×+8)=-3×

3×+24=-3×

3×+3×=-24

6×=-24

×=-4

(45-у)+8=28

45-у=28-8

45-у=20

у=45-20

у=25

5(×-5)=-8×+1

5×-25=-8×+1

5×+8×=1+25

13×=26

×=2

Answer 2

Let's solve each equation step by step:

2. 7(x + 7) = 10x

Expanding the brackets: 7x + 49 = 10x

Subtracting 7x from both sides: 49 = 3x

Dividing both sides by 3: x = 49/3

Therefore, the solution to this equation is x = 49/3.

3. 3(x + 8) = -3x

Expanding the brackets: 3x + 24 = -3x

Adding 3x to both sides: 6x + 24 = 0

Subtracting 24 from both sides: 6x = -24

Dividing both sides by 6: x = -24/6

Simplifying the fraction: x = -4

Therefore, the solution to this equation is x = -4.

4. (45 - y) + 8 = 28

Combining like terms: 45 - y + 8 = 28

Simplifying: 53 - y = 28

Subtracting 53 from both sides: -y = 28 - 53

Simplifying: -y = -25

Multiplying both sides by -1 to solve for y: y = 25

Therefore, the solution to this equation is y = 25.

5. 5(x - 5) = -8x + 1

Expanding the brackets: 5x - 25 = -8x + 1

Adding 8x to both sides: 5x + 8x - 25 = 1

Combining like terms: 13x - 25 = 1

Adding 25 to both sides: 13x - 25 + 25 = 1 + 25

Simplifying: 13x = 26

Dividing both sides by 13: x = 26/13

Simplifying the fraction: x = 2

Therefore, the solution to this equation is x = 2.

To summarize: 2) x = 49/3

3. x = -4
4. y = 25
5. x = 2