21 cars, 32 motorcycles.create a system of equations using x for cars and y for motorcycles.

multiply the top equation by 2 to prepare for elimination method

subtract terms

divide both sides by negative 2 to solve for x
x =21
plug in x into original equation to solve for y.
21 + y = 53
subtract both sides by 21
y=32
Answer:
-144 or 2 5
Step-by-step explanation:
Y₂-y₁
--------
x₂-x₁
=
5-5
--------
-8-2
0
-----
-10
slope = 0
Cross mutiply. 42*10= 420. 14*g= 14g
14g= 420
divide by 14 for both sides
14g/14= 420/14
g= 30
Check answer by using substitution method
42/30. Divide by 3 . 42/3= 14 , 30/3= 10
14/10 and 14/10 equal to each other by dividing 2.
14/2= 7 , 10/2= 5
7/5= 7/5
Answer: g= 30
HP = JP (since the opposite sides of an isosceles triangle are equal)
3x - 6 = x + 2
2x = 8
x = 4
Thus, HP = 3(4) - 6 = 12 - 6 = 6
JP = 4 + 2 = 6
JH = 2(4) = 8.