N - Nicholes money
M - Marys money
(1) N + M = 4800 ⇒ N = 4800 - M
(2) N - 800 = M - 2/5M ⇒ N - 800 = 3/5M
subtitute (1) to (2)
4800 - M - 800 = 3/5M
4000 - M = 3/5M
-M - 3/5M = -4000
-8/5M = -4000 |multiply both sides by (-5/8)
M = 2500
subtitute the value of M to (1)
N = 4800 - 2500
N = 2300
Answer: Mary had at first $2500. (Nichole: $2300).
Answer:
y= -intercept = 10
Step-by-step explanation:
Answer:
The best estimate solution to the system of equations is (0, 3)
Step-by-step explanation:
we have
y=14x-2 ------> equation A
y=-2x+3 -----> equation B
Solve the system by elimination
Multiply the equation B by 7 both sides
(7)y=(7)(-2x+3)
7y=-14x+21 -------> equation C
Adds equation A and equation C
y=14x-2
7y=-14x+21
-----------------
y+7y=-2+21
8y=19
y=19/8
Find the value of x
y=14x-2
19/8=14x-2
19=112x-16
112x=19+16
112x=35
x=35/112
so
The solution is the point (35/112,19/8)
Convert to decimal number
(0.3125,2.375)
therefore
The best estimate solution to the system of equations is (0, 3)
