Answer:
(45,35)
Step-by-step explanation:
1 - Stack the equations on top of each other
3x - 4y = -5
4x + 4y = 40
2 - We can eliminate by subtracting the bottom equation from the top equation
3x - 4y = -5
- 4x - 4y = 40
3 - The y's cancel out, leaving us with...
3x = -5
- 4x = 40
4 - Continue simplifying
-1x = -45
5 - We can switch the -1x with -x to make things simple
-x = -45
6 - Positize (make it positive) the statement
x = 45
7 - Halfway there! Substitute the x value into one of the equations
(3 * 45) - 4y = -5
8 - Solve
135 - 4y = -5
Minus 135 on both sides
-4y = -140
Divide by -4 on both sides
y = 35
9 - Here is your answer!!
x = 45
y = 35
(45,35)
15 the doctor did not make a mistake because (the rule 5 and below don't round up 5 up round up)
16 nope becaue she took longer than the other girls to run the 200 meter dash
Answer:
yes, it is (3,2)
Step-by-step explanation:
quadrant
1st (-,+)
2nd (+,+)
3rd (-,-)
4th (+,-)
Answer:
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Step-by-step explanation:
Let
x = price of balcony tickets
y = price of orchestra tickets
y = 3x (1)
148y + 76x = 3,640 (2)
Substitute y = 3x into (2)
148y + 76x = 3,640 (2)
148(3x) + 76x = 3,640
444x + 76x = 3,640
520x = 3,640
x = 3,640/520
x = 7
Substitute x = 7 into (1)
y = 3x (1)
y = 3(7)
y = 21
x = price of balcony tickets = $7
y = price of orchestra tickets = $21
Answer:
in steps
Step-by-step explanation:
DE // BC
m∠ADE = m∠ABC and m∠AED = m∠ACB
∴ ΔADE similar to ΔABC
AB/AD = AC/AE
(AD + DB) / AD = (AE + EC) / AE
AD/AD + DB/AD = AE/AE + EC/AE
1 + DB/AD = 1 + EC/AE
DB/AD = EC/AE (AD/DB = AE/EC)
