Explanation

To find  b, substitute a=2 into the equationa=b+4:

2=b+4

Subtract 4 from both sides

2−4=b

b=−2

Explanation

2x+3=3x−2

First, let's move all terms involving x to one side of the equation. We can do this by subtracting 2x from both sides:

2x+3−2x=3x−2−2x

3=x−2

Next, let's isolate x by adding 2 to both sides:

3+2=x−2+2

5=x

So, the solution to the equation is x=5.

Explanation

x+y =13 if y=18 then x is -5

**

x+y =13

y=18
x + 18 = 13

x = 18-13

x= -5

Explanation

Step 1: Determine the value of each power of j

j¹⁰ = (j²)⁵ = (-1)⁵ = -1.

j¹⁰⁰ = (j²)⁵⁰ = (-1)⁵⁰ = 1.

j¹⁰⁰⁰ = (j²)⁵⁰⁰ = (-1)⁵⁰⁰ = 1.

Step 2: Calculate the expression

1 + j¹⁰ + j¹⁰⁰ - j¹⁰⁰⁰ = 1 + (-1) + 1 - 1 = 0.

Explanation

Let x be that number

then according to the given condition

(7×x)−3=53

so ,7x−3=53

7x=56

so x=8

so the number is 8

7X-3=53 7X=56 X=8

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Explanation

Explanation

To solve for y in the equation   0.15y=15, we can divide both sides by 0.15:

y =  15/0.15

Calculating this gives:

y =  0.15 /15

y​ =100

Explanation

The equation is separable:

  dy/dx = –y

  ⇒ dy/y = –dx

  ⇒ ∫(1/y) dy = ∫(–1) dx

  ⇒ ln|y| = –x + C

  ⇒ y = Ce⁻ˣ (where C is the constant of integration)

Explanation

Given the equation 20 = 3x + 8:

Step 1: Subtract 8 from both sides.

20 - 8 = 3x

12 = 3x

Step 2: Divide both sides by 3.

x = 12 / 3

x = 4

Explanation

It looks like there’s a small mistake in the equation format.

Assuming the intended equation is:

x−5=10

Let's solve for x:

1; Add 5 to both sides to isolate 

x=10+5=15