3x+y=8
y=8-3x
5x+3(8-3x)=8
5x+24-9x=8
-4x+24=8
-4x=-16
x=4
5x+3y=8
5(4)+3y=8
20+3y=8
3y=-12
Y=-4
5x+3y=8
5(4)+3(-4)=8
20+-12=8
8=8
Answer:
<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>
<u>Our system of equations:</u>
<u>x + y = 12</u>
<u>7x + 12y = 104</u>
Correct statement and question:
Alejandro loves to go to the movies. He goes both at night and during the day. The cost of a matinee is 7 dollars. The cost of an evening show is 12 dollars.
Alejandro went to see a total of 12 movies and spent $ 104. How many of each type of movie did he attend? Write a system of equations.
Source:
Previous question that can be found at brainly
Step-by-step explanation:
Step 1:
Let x to represent the number of matinee shows Alejandro went to.
Let y to represent the number of evening shows Alejandro went to.
Now, let's write our system of equations:
x + y = 12
7x + 12y = 104
*********************
x = 12 - y
*********************
7 (12 - y) + 12y = 104
84 - 7y + 12y = 104
5y = 104 - 84
5y = 20
y = 20/5
<u>y = 4 ⇒ x = 12 - 4 = 8</u>
<u>Alejandro went to 8 matinee shows and 4 evening shows.</u>
It is 5.69 positively sure of it good luck on youre quiz if youre taking one!
Answer: A
Step-by-step explanation:
By Sine Rule,
x/sin30° = 8/sin90°
x/0.5 = 8/1
So x = 4.
