Seven people went to the movies. The number of adults was one more than the
Children. Write a system of equations that
represents the number of adults and child-
ren. Solve the system algebraically.

3 kids, 4 Adults

Step-by-step explanation:

x = kids

y = adults

Total = 7

x + y = 7

y = x + 1

do a bit of solvin, too much to type lol

2x = 6

x = 3

And since X = 3  and Y = X + 1

Y = 3 + 1 = 4

Answer

5 and -4

Explanation

If the two triangle are congruent then they have the same area.

20 = x² - x

x² - x - 20 = 0

x² - x + (1/2)² = 20 + (1/2)²

(x - 1/2)² = 20.25

x - 1/2 = √20.25

x - 1/2 = 4.5                             or    x - 1/2 = - 4.5

x = 4 1/2 + 1/2                                      x = -4 1/2 + 1/2

   = 5                                                      = -4

The values of x are 5 and -4.