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solniwko [45]
3 years ago
15

X - 4y - 1 = 0 x + 5y - 4 = 0 solve for comparison

Mathematics
2 answers:
KIM [24]3 years ago
8 0
x-4y-1=0
-x-5y-4=0
----------------
0+y+3=0
y+3-3=0-3
y=-3

Substituting y=-3 in the equation x-4y-1=0
x-4×-3-1=0
x+12-1=0
x+11-11=0-11
x=-11


Stels [109]3 years ago
7 0

Answer:

(x,y) = (7/3,1/3)

Step-by-step explanation:

x - 4y - 1 = 0     ------ Equation 1

x + 5y - 4 = 0   ------ Equation 2

From equation 1,

x = 4y + 1 (substitute into equation 2)

4y + 1 + 5y - 4 = 0

9y = 3

y = 1/3

Substitute into x = 4y + 1

x = 4(1/3) + 1

x = 4/3 + 1

x = 7/3

Therefore,

(x,y) = (7/3,1/3)

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X - y = 6
Dominik [7]

the system has no solution.

Option C is correct.

Step-by-step explanation:

We need to solve the system of equations by substitution

x - y = 6\,\,\,eq(1)\\x = y + 2\,\,\,eq(2)

Putting value of x from eq(2) into eq(1)

(y+2)-y=6\\y+2-y=6\\0+2=6\\0=6-2\\0\neq4

As as 0≠4is not true, we cannot find the value of y so the system has no solution.

Option C is correct.

Keywords: System of equations

Learn more about system of equations at:

  • brainly.com/question/7490805
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  • brainly.com/question/13168205

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AnnyKZ [126]
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A survey of an urban university (population of 25,450) showed that 870 of 1,100 students sampled supported a fee increase to fun
Katen [24]

Answer:

95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C

Step-by-step explanation:

The confidence interval for a proportion is given as [p +/- margin of error (E)]

p is sample proportion = 870/1,100 = 0.791

n is sample size = 1,100

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (z) at 5% significance level is 1.96.

E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024

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