Solve each equation algebraically. Show work. #1,#4,and #6

In order to solve these, you must combine your variable terms and move them till they are isolated from your constants. Divide until the variable is alone on one side.

1. 7

Step-by-step explanation:

1. 8y= 37+ 35

Subtract 3y from both sides of the equation:

8y - 3y = 3y + 35 - 3y

simplify:

combine like terms

than combine like terms again

5y= 35

Divide both sides of the equations by the same term:

5y = 35

simplify:

cancel terms that are in both the numberator and denominator

divide numbers

7

if x = 1, then the answer is 3.5

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc