3(x−5)/2=2(x+5)/3
Cross-multiply.
(3(x−5))/2=(2(x+5))/3
3(x−5)*(3)=2(x+5)*(2)
9x−45=4x+20
Subtract 4x from both sides.
9x−45−4x=4x+20−4x
5x−45=20
Add 45 to both sides.
5x−45+45=20+45
5x=65
Divide both sides by 5.
5x/5=65/5
x=13
8 is greater than or equal to x
(where x = the number of tickets)
or x is less than or equal to 8
Answer:
y = 3
x = 2
Step-by-step explanation:
-5x + 4y = 2
9x - 4y = 6
Sum both eq.
-5x + 9x = 4x
+4y - 4y = 0
2 + 6 = 8
then:
4x + 0 = 8
4x = 8
x = 8/4
x = 2
from the first eq.
-5x + 4y = 2
-5*2 + 4y = 2
-10 + 4y = 2
4y = 2 + 10
4y = 12
y = 12/4
y = 3
Check:
from the second eq.
9x - 4y = 6
9*2 - 4*3 = 6
18 - 12 = 6