Answer:
One solution (-1,2)
Step-by-step explanation:
Since these two linear equations have different slopes, different y-intercepts, and are indeed linear, these equations will only have one crossing when graphed, and hence one solution.
To find that solution, we can simply set the equations equal to each other.
y = -x + 1
y = 2x + 4
-x + 1 = 2x + 4
-3 = 3x
-1 = x
Now plug that value back into one of the equations:
y = -x + 1
y = -(-1) + 1
y = 2
So now you know the crossing for these two equations occurs at (-1,2).
Cheers.
Answer:
27
Step-by-step explanation:
the sequence is 4 added to each number. 4 added to 23 is 27
Answer:
If the second of the three numbers is
n
, then the first and third are
n- 1
and n
+
1
, so we find:
117
=
(
n
−
1
)
+
n
+
(
n
+
1
)
=
3n
Dividing both ends by
3 we find:
n
=
117/ 3
=
39
So the three numbers are:
38
,
39
,
40
Step-by-step explanation : I hope it helps please don't forget to mark me brainliest . :)
Answer: 220
<u>Step-by-step explanation:</u>
Children (x): $2
Teens (y): $3, 
Adults: (z): $5
Quantity: x + y + z = 570 ⇒ x + + z = 570 ⇒ 1.75x + z = 570
Cost: 2x + 3y + 5z = 1950 ⇒ 2x + 3
+ 5z = 1950 ⇒ 2x + 2.25x + 5z = 1950 ⇒ 4.25x + 5z = 1950
Qty: 1.75x + z = 570 → 5(1.75x + z = 570) → 8.75x + 5z = 2850
Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>
4.50x = 900
x = 200
Teens (y):
y = 
= 
= 150
Quantity: x + y + z = 570
200 + 150 + z = 570
350 + z = 570
z = 220
