To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

8a x 6b = (8 x 6) (a x b) = 48ab

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

You need to find the value of a so solve the first equation in terms of y:

-6a + y = 8
y = 8 + 6a

then substitute the result (8 - -6a) into the second equation:

9a - 1(8 + 6a) = -3
9a + (-1 x 8) + (-1 x 6a) = -3
9a - 8 - 6a = -3
9a - 6a = -3 + 8
3a = 5
a = \( \frac{5}{3} \)
a = 1\(\frac{2}{3}\)