Question

Would appreciate it, if anyone could help with this.

Answer 1

x=25

Explanation:

The lines intersect and create vertical angles. The two angles are vertical, so we can set them equal to each other.

5x+4=8x-71

First, we must get all the constants to one side and all of the terms with variables to the other side.

71 is being subtracted and the inverse of subtraction is addition. Add 71 to both sides of the equation.

5x+4+71=8x-71+71

5x+(4+71)=8x

5x+75=8x

Next, subtract 5x from both sides of the equation to get all the terms with variables to one side.

5x-5x+75=8x-5x

75=8x-5x

75=3x

Finally, divide both sides by 3. We divide because x and 3 and being multiplied and the inverse of multiplication is division.

75/3=3x/3

75/3=x

25=x

The value of x is 25.

Answer 2

Since they are intersecting lines, you would equal them to each other.
(5x+4)= (8x-71)
-8x. -8x
-3x + 4 = -71
- 4. -4
-3x = -75
Divide 3x by both sides gets you x = 25