Answer:
The correct option is x=3 , y=2
Step-by-step explanation:
According to the HL theorem if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
Now we will plug the value y+1 of equation 1 in equation 2.
2x+3 = 3y+3
2(y+1)+3=3y+3
2y+2+3=3y+3
2y+5=3y+3
Now combine the like terms:
5-3=3y-2y
2=y
y=2
Now plug the value y=2 in equation 1.
x=y+1
x=2+1
x=3
Thus the values of(x.y) are{(2,3)}
Therefore the correct option is x=3 , y=2 .....
Answer:
Cost of child movie = x = $8
Cost of adult movie = y = $10.25
Step-by-step explanation:
Let cost of child movie = x
Cost of adult movie = y
Now converting statements into mathematical expressions:
Hansen family bought 2 child and 2 adult movie tickets and paid $36.50.
Owens family bought 5 child and 2 adult tickets and paid $60.50.
Let:
Subtract both equations:
So, we get Value of x =8
Now, putting value of x in eq(1) to find value of y
So, we get Value of y = 10.25
So,
Cost of child movie = x = $8
Cost of adult movie = y = $10.25