mVUT =175, mVUJ=17x-3, and mJUT=17x+8. Find x

Mathematics · High School · Sun Jan 24 2021

Answered on

Given the equations:

mVUT =175, mVUJ=17x-3, and mJUT=17x+8

Find x.

Solution:

Since we have two equations, we can solve for x separately. Thus, we start first with the first equation. Transpose -3 to the other side of the equation, and then divide both sides by 17. We must take note that in transposing a number, the sign changes.

= 17x - 3

17x = 3

17x/17 = 3/17

x = 3/17

Do the same for the second equation.

= 17x + 8

17x = -8

17x/17 = -8/17

x = -8/17

Final answer:

x = 3/17

x = -8/17