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kipiarov [429]
3 years ago
10

Alvin is 11 years younger than Elga. The sum of their ages is 43. What is elgas age

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0

Answer:

16

Step-by-step explanation:

Lets assume x is Elgas' age

And y is Alvins age

we know that alvin is 11 years younger than Elga which means,

x=y+11

and the sum of their age is 43

x+y=43

solve it and you get 16

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4. Solve the following system of equations for x.
Ber [7]

We are given the system of equations -:

\large{ \begin{cases} 2x + 3y =  - 14 \\ y = 6x + 22 \end{cases}}

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

\large{2x + 3(6x + 22) =  - 14}

Expand 3 in the expression so we can combine like terms and isolate x-variable.

\large{2x + 18x + 66 =  - 14}

Then combine like terms.

\large{20x + 66 =  - 14}

Get rid of 66 from the left side by subtracting both sides by itself.

\large{20x + 66 - 66 =  - 14 - 66} \\  \large{20x =  - 80}

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

\large{ \frac{20x}{20}  =  \frac{ - 80}{20} }

Simplify to the simplest form.

\large{x =  - 4}

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

  • x = -4

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

5 0
3 years ago
A submarine dives 20 m each minute for 15 minutes. What is the total change in depth after 15 minutes?
bazaltina [42]

Answer:

300 m

Step-by-step explanation:

20 meters per minute. 15 minutes it dives. 20x15 is 300

3 0
3 years ago
Read 2 more answers
What is the solution to the system of equations -8x + 4y = -2, 2y = 1​
Black_prince [1.1K]

Answer:

Hi! The correct answer is x=1/4+y/2!

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation

5 0
3 years ago
For which of the following compound inequalities is there no solution? ​
Bess [88]

Answer:

(a)6m \le - 36 and m + 24 > 20

Step-by-step explanation:

Required

Which of a to d has no solution

(a)6m \le - 36 and m + 24 > 20

We have: m + 24 > 20

Sole for m

m >20 - 24

m >-4

6m \le - 36

Divide by 6

m \le -6

So, we have:

m \le -6 and m >-4

m \le -6 implies that: m = -6,-7,-8,-9.....

m >-4 implies that m = -3,-2,-1,0.....

<em>Hence, there is no solution</em>

8 0
3 years ago
Suppose you work for a large coffee distributor that has a secret coffee blend it sells to local stores. You mix the House blend
TiliK225 [7]

The ratio House blend/Organic Free Trade blend is the same and must remain the same.

So, the proportion is:

\frac{140}{168}=\frac{130}{x}

Where x is the unknown amount of the Organic Free Trade blend.

So, from the proportion, we have:

\begin{gathered} 140\cdot x=168\cdot130 \\ 140x=21840 \\ \frac{140x}{140}=\frac{21840}{140} \\ x=156 \end{gathered}

Answer: 156 pounds of Organic Free Trade blend

6 0
1 year ago
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