Question

1) 7х-5=6х+1 2) 4х-3=3х+5 3) 9-7у=-6у+1 4) 6м+3=7м+8 5) 9м-2=10м-4 6) -9а+6=-10а+16

Answer 1

Ответ:

Пошаговое объяснение:

1) 7х-5=6х+1

7х-6х=1+5

Х=6

2) 4х-3=3х+5

4х-3х=5+3

Х=8

3) 9-7у=-6у+1

6у-7у=1-9

У=8

4) 6м+3=7м+8

6м-7м=8-3

-м=5

М=-5

5) 9м-2=10м-4

9м-10м=2-4

М=2

6) -9а+6=-10а+16

10а-9а=16-6

А=10

Answer 2

1)7х-5-6х-1=0

Х-6=0

Х=6

2)4х-3-3х-5=0

Х-8=0

Х=8

3)9-7у+6у-1=0

-у+8=0

-у=-8

у=8

4)6m+3-7m-8=0

-m-5=0

-m=5

m=-5

5)9м-2-10м+4=0

-м-2=0

-м=2

м=-2

6)-9а+6+10а-16=0

а-10=0

а=10

Answer 3

To solve the given equations, we'll isolate the variable on one side of the equation. Here are the solutions for each equation:

1. 7х - 5 = 6х + 1

Subtract 6х from both sides: 7х - 6х - 5 = 6х - 6х + 1

Simplify: х - 5 = 1

Add 5 to both sides to isolate х: х - 5 + 5 = 1 + 5

Simplify: х = 6

So the solution for equation 1 is х = 6.

2. 4х - 3 = 3х + 5

Subtract 3х from both sides: 4х - 3х - 3 = 3х - 3х + 5

Simplify: х - 3 = 5

Add 3 to both sides to isolate х: х - 3 + 3 = 5 + 3

Simplify: х = 8

So the solution for equation 2 is х = 8.

3. 9 - 7у = -6у + 1

Add 6у to both sides: 9 - 7у + 6у = -6у + 1 + 6у

Simplify: 9 - у = 1 + 6у

Add у to both sides to isolate у: 9 - у + у = 1 + 6у + у

Simplify: 9 = 1 + 7у

Subtract 1 from both sides to continue isolating у: 9 - 1 = 1 - 1 + 7у

Simplify: 8 = 7у

Finally, divide by 7 to get the value of у: у = 8 / 7

So the solution for equation 3 is у = 8/7 or approximately 1.1429.

4. 6м + 3 = 7м + 8

Subtract 6м from both sides: 6м + 3 - 6м = 7м + 8 - 6м

Simplify: 3 = м + 8

Subtract 8 from both sides to isolate м: 3 - 8 = м + 8 - 8

Simplify: -5 = м

So the solution for equation 4 is м = -5.

5. 9м - 2 = 10м - 4

Subtract 9м from both sides: 9м - 9м - 2 = 10м - 9м - 4

Simplify: -2 = м - 4

Add 4 to both sides to isolate м: -2 + 4 = м - 4 + 4

Simplify: 2 = м

So the solution for equation 5 is м = 2.

6. -9а + 6 = -10а + 16

Add 10а to both sides: -9а + 10а + 6 = -10а + 10а + 16

Simplify: а + 6 = 16

Subtract 6 from both sides to isolate а: а + 6 - 6 = 16 - 6

Simplify: а = 10

So the solution for equation 6 is а = 10.

In summary:

1. х = 6
2. х = 8
3. у = 8/7 or approximately 1.1429
4. м = -5
5. м = 2
6. а = 10