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timofeeve [1]
2 years ago
15

Solve the system using the substitution method 4x+y=10 y=5x+1

Mathematics
1 answer:
lions [1.4K]2 years ago
6 0
4x+5x+1=10 —> 9x=9 —> x=1 :) hope i could help!
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How do I find the restrictions on x if there are any? <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bx%20-%201%7D%20%20%3
Natali5045456 [20]

We have the expression:

\frac{1}{x - 1}=\frac{5}{x - 10}

When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.

That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.

If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).

Expression:

\begin{gathered} \frac{1}{x-1}=\frac{5}{x-10} \\ \frac{x-1}{1}=\frac{x-10}{5} \\ x-1=\frac{x}{5}-\frac{10}{5} \\ x-1=\frac{1}{5}x-2 \\ x-\frac{1}{5}x=-2+1 \\ \frac{4}{5}x=-1 \\ x=-1\cdot\frac{5}{4} \\ x=-\frac{5}{4} \end{gathered}

Answer: There is no restriction for x in the expression.

6 0
1 year ago
In a school there are 1000 boys and 800 girls. Calculate the percentage of boys and girls
Arisa [49]

Answer:

55.55%= boys & 44.44% = girl

Step-by-step explanation:

1000/(1000+800)=1000/1800=.5555 or 55.55% are boys

800/(1000+800)=800/1800=.4444 or 44.44% are girls.

Therefore, 55,55% are boys and 44.44% are girls.

8 0
2 years ago
Please help, I only have 1 attempt left to get it right, there is also no need to show your work if you don't want to.
castortr0y [4]

Answer:

1/2 lb

Step-by-step explanation:

(1)1.75 + 3(3.75) - 4 = 23.5/4

23.5x/4 = 2.95

23.5x = 11.8

x = 0.5

3 0
2 years ago
Read 2 more answers
Use the intercept method to graph the equation y=-3
Strike441 [17]
What if I write the equation like this:
y = zero x - 3.
Now you know that the slope of the line is zero and its y-intercept is -3.
That's a horizontal line that crosses the y-axis at -3. And just like the equation says, the value of 'y' doesn't depend on 'x'. It's -3 everywhere.
6 0
2 years ago
Question 9 of 10
denis-greek [22]
The answer should be A and D
4 0
3 years ago
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