Substitute the first equation into the second equation. You will get:
4x - (2x - 5) = 7
Distribute the negative sign into the parenthesis:
4x - 2x + 5 = 7
Simplify
2x + 5 = 7
Subtract 5 on both sides
2x = 2
x = 1
Now, substitute x = 1 into the first equation:
y = 2(1) - 5
y = 2 - 5
y = -3
The solution to the system of equations is (1, -3).
To see if a pair of ratios is proportional... you need to compute for its cross products. If the cross products are equal then they are proportional.
a/b = c/d where ad = bc
a) 4/9 = 16/45 ⇒ 4*45 = 9*16 ⇒ 180 = 144 NOT PROPORTIONAL
b) 5/12 = 25/144 ⇒ 5*144 = 12*25 ⇒ 720 = 300 NOT PROPORTIONAL
c) 12/18 = 18/27 ⇒ 12*27 = 18*18 ⇒ 324 = 324 PROPORTIONAL
d)15/20 = 7/10 ⇒ 15*10 = 20*7 ⇒ 150 = 140 NOT PROPORTIONAL
Answer:
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Using technology,
normalcdf(lower = 59, upper = 65, mean = 60, sd = 5)
= 0.4206 or 42.06%
Answer:
The second one (4+3x = 9)
Step-by-step explanation:
From the working we can already tell that the second one is the odd one out without even doing the 4th one