An equation is formed of two equal expressions. A point that will lie on the line 3x-8y=54 is (5,-4.875).
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To find a point on the line 3x-8y=54, take any random value of x and substitute for the equation, and solve the equation for y. Now, as you have the value of x and y, you have the coordinate of the point.
Let the value of x be 5.
3x-8y=54
3(5)-8y =54
15-8y = 54
-8y = 54 - 15
-8y = 39
y = -4.875
Hence, a point that will lie on the line 3x-8y=54 is (5,-4.875).
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Answer:
x = 4
y = -7
Step-by-step explanation:
y = -2x + 1
4x + y = 9
4x + y = 9
4x + (-2x + 1) = 9
4x - 2x + 1 = 9
2x + 1 = 9
2x = 9 - 1
2x = 8
x = 8/2
<u>x = 4</u>
4x + y = 9
4(4) + y = 9
16 + y = 9
y = 9 - 16
<u>y = -7</u>
Answer:
For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis:
Or equivalently:
Null hypothesis: 
Alternative hypothesis:
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if life expectancy in country 1 is more than 10 years lower than in country 2, (alternatibe hypothesis), so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
Or equivalently:
Null hypothesis:
Alternative hypothesis:
Your original fraction was probably greater than 1/2 because if it was less than you wouldn't be able to divide it.
6x+3=45
6x+3-3=45-3
6x= 42
Divide by 6 for 6x and 42
6x/6= 42/6
x= 7
Check answer by using substitution method
6x+3= 45
6(7)+3= 45
42+3= 45
45= 45
The answer is x= 7
