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Alika [10]
3 years ago
9

The sum of two numbers is 125. Five times one number minus three times the other is 41. Determine these numbers

Mathematics
1 answer:
vivado [14]3 years ago
4 0
(x + y = 125)3
5x - 3y = 41
3x - 3y = 375
8x = 416, x = 52
52 + y = 125, y = 73

Solution: the numbers are 52 and 73
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Create a system of linear equations with one solution. In your final answer, include the system of equations and the graphs of t
GrogVix [38]

Answer:

<u>System of equations</u>

x + y = 5

y - 2x = -4

(x,y) = (3,2) --- solution

See attachment for graph

Step-by-step explanation:

Solving (a): Linear equations with 1 solution

The only condition to this is that, the system must have 1 solution.

Other than that, there is no other condition.

A linear equation is represented as:

ax + by= c

For the equation to have 1 solution;

a_1 * b_2 \ne a_2 * b_1

And example of such equation is:

x + y = 5

y - 2x = -4

Solving (b): The graph

See attachment for graph

The solution is the point of intersection of both lines of the graph. So, we have:

(x,y) = (3,2)

8 0
3 years ago
Does anyone know the answer to this ?
miv72 [106K]
What if you divide it by 100?
8 0
1 year ago
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The exterior angle of a regular polygon is 36º.<br> How many sides does the polygon have?
Mrac [35]

Answer:

10

Step-by-step explanation:

The sum of the measures of the exterior angles in a convex polygon is 360°. And each exterior angle measure 36 degrees so Number of side will be 10.

3 0
2 years ago
1. If a - b = 4 and a + b = 12, what is the<br> value of a?
Nezavi [6.7K]

I think this is what you are looking for:

=−12

a

b

=

−

12

+=4

a

+

b

=

4

(+)2=42

(

a

+

b

)

2

=

4

2

2+2+2=16

a

2

+

b

2

+

2

a

b

=

16

∴2+2=16+2×12=40

∴

a

2

+

b

2

=

16

+

2

×

12

=

40

Now, (−)2=2+2−2=40+2×12=64

(

a

−

b

)

2

=

a

2

+

b

2

−

2

a

b

=

40

+

2

×

12

=

64

∴(−)=64‾‾‾√=±8

∴

(

a

−

b

)

=

64

=

±

8

So, 2−2=(+)(−)

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

2−2=(4)(±8)=±32

a

2

−

b

2

=

(

4

)

(

±

8

)

=

±

32

Hope that helps and sorry if it is confusing!

4 0
3 years ago
Read 2 more answers
Help plz I need asap
miv72 [106K]
Choose the one on the very top.
6 0
3 years ago
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