To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

-7a - 6 = -7 - a
-7a = -7 - a + 6
-7a + a = -7 + 6
-6a = -1
a = \( \frac{-1}{-6} \)
a = \(\frac{1}{6}\)

You need to find the value of c so solve the first equation in terms of z:

8c + z = 1
z = 1 - 8c

then substitute the result (1 - 8c) into the second equation:

5c + 1(1 - 8c) = 1
5c + (1 x 1) + (1 x -8c) = 1
5c + 1 - 8c = 1
5c - 8c = 1 - 1
-3c = 0
c = \( \frac{0}{-3} \)
c =

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 43° - 54° = 83°

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 2 x 5 = \( \frac{10}{2} \) = 5

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 5² + 9²
c² = 25 + 81
c² = 106
c = \( \sqrt{106} \)