Question

-2(x + 3) = 2x - 1 2)2(2 - y) = y - 5

Answer 1

1)

-2(x + 3) = 2x - 1

-2x-6=2x-1

-2x-2x=-1+6

-4x=5

x= - 5/4

2)

2(2 - y) = y - 5

4-2y=y-5

4+5=y+2y

9=3y

y=3

Answer 2

Let's solve each equation step by step:

1. -2(x + 3) = 2x - 1

First, distribute the -2 to the terms inside the parentheses:

-2x - 6 = 2x - 1

Now, let's isolate the x terms on one side and the constant terms on the other side. We can do this by adding 2x to both sides and adding 6 to both sides:

-2x - 2x - 6 + 6 = 2x + 2x - 1 + 6

Simplifying:

-4x = 4x + 5

Next, let's isolate the x terms on one side by subtracting 4x from both sides:

-4x - 4x = 4x + 5 - 4x

Simplifying:

-8x = 5

Now, let's solve for x by dividing both sides by -8:

x = 5 / -8

Simplifying:

x = -5/8

2. 2(2 - y) = y - 5

First, distribute the 2 to the terms inside the parentheses:

4 - 2y = y - 5

Next, let's isolate the y terms on one side and the constant terms on the other side. We can do this by adding 2y to both sides and adding 5 to both sides:

4 - 2y + 2y = y + 5 - 2y

Simplifying:

4 = 3y + 5

Now, let's isolate the y terms on one side by subtracting 3y from both sides:

4 - 3y = 3y + 5 - 3y

Simplifying:

4 - 3y = 5

Next, let's isolate the constant term on one side by subtracting 4 from both sides:

4 - 3y - 4 = 5 - 4

Simplifying:

-3y = 1

Finally, let's solve for y by dividing both sides by -3:

y = 1 / -3

Simplifying:

y = -1/3

So, the solutions to the given equations are:

1. x = -5/8
2. y = -1/3