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jekas [21]
3 years ago
14

Write a system of equations modeling the given conditions. Then solve the system by the substitution method and find the two num

bers.
The sum of two numbers is 75. One number is 23 more than the other. Find the numbers.
Mathematics
1 answer:
eduard3 years ago
8 0

Answer:

The value of two numbers is x=49 and y=26 and the corresponding equation for the given condition is x +y =75  

<u>Explanation:</u>

Given:

Sum of two numbers is 75

One number is 23 more than other

To find:

Frame the equation for the above condition and find the value of two numbers.

Solution:

From the given we know that the sum of two numbers is 75  

Let x and y be the numbers, such that the equation is framed as

x +y =75

And we also know that one number is 23 more than other, so we can say either x or y has a greater one

Here I say x is 23 more than y such that,

x=23+y

Substitute the value of x in the equation and we know

x + y=75 and x=23+y we get,

23+y+y=75

23+2y=75

2y=75-23

2y=52

y=26

Since x=23+y as already stated we get as

x=23+26=49

Result:

Thus the equation for the above given conditions is x +y =75 and the values of two number is 49 and 26

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Hey there! :D

So you're wondering if you can make a new ten in this problem, right? Well, lets find out! We can simply do<span> 59 + 17 = 59 + 1 + 16 = 60 + 16 = 76. When we did 59 + 1, that is a new ten then we added to 16. So yes, we did make a new ten in this problem. </span>

<span>Hope it helps! ;)</span>

4 0
3 years ago
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3 years ago
1. A rectangle is 3/4 as wide as it is long. How
s344n2d4d5 [400]

Answer:

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Step-by-step explanation:

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2 years ago
Which ordered pairs are in the solution set of the system of linear inequalities? y &gt; x y &lt; x + 1 (5, –2), (3, 1), (–4, 2)
steposvetlana [31]

To check which ordered pair (point) is in the solution set of the system of given linear inequalities y>x, y<x+1; we just need to plug given points into both inequalities and check if that point satisfies both inequalities or not. If any point satisfies both inequalities then that point will be in solution.

I will show you calculation for (5,-2)

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which is clearly false.

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hence (5,-2) is not in the solution.

Same way if you test all the given points then you will find that none of the given points are satisfying both inequalities.

Hence answer will be "No Solution from given choices".

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You have the following function:

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In order to determine th value of x when g(x) = -4, you equal the previous expression to -4 and solve for x, just as follow:

g(x) = 3x - 7 replace g(x) = -4

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3/3 = x

x = 1

Hence, the anser is x = 1

3 0
11 months ago
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