X - 2y = -24
x - y = 4
Isolate x in the first equation by adding 2y to both sides.
x = -24 + 2y
Now plug in this value of x into the second equation.
(-24 + 2y) - y = 4
Solve. Combine all like terms, 2y - y.
-24 + y = 4
Add 24 to both sides to isolate y.
y = 28
Now plug y back into the first equation to find x.
x - 2(28) = -24
x - 56 = -24
Add 56 to both sides to isolate x.
x = 32
The solution is (32, 28).
Answer:
<u>375 Adult Tickets.</u>
Step-by-step explanation:
Here, we can simply set up an equation using variable <em>x </em>in place of the unknown student/adult tickets.
x = # of <u>adult</u> tickets sold
x + 65 = # of <u>student</u> tickets sold.
1) x + x + 65 = 815 (set both ticket amounts equal to the total)
2) 2x + 65 = 815 (added common variables together)
3) 2x = 750 (negated the +65, subtracted it from both sides)
4) x = 375 (divided both sides by 2)
5) 815 - 375 = 440 (subtracted the x from the total number of <u>adult</u> tickets, to recieve the amount of <u>childrens</u>' tickets.
Therefore,
Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.
Answer:
a = 10, b = -12
Step-by-step explanation:
4+2(5x-8) = ax +b
4 + 10x - 16 = ax + b
10x - 12 = ax + b
Infinitely many solutions when:
a = 10
b = -12
He's a silly goober and he likes to joke around
Answer:
theres no picture
Step-by-step explanation: