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3 years ago

I am thinking of

Mathematics

1 answer:

user100 [1]3 years ago

3 0

Answer:

9 and 6

Step-by-step explanation:

Write down the system.

The two numbers are x and y.

We are therefore given:

x+y=15

x-y=3

I will solve this for elimination since it is already setup for it.

I will add the columns since both equations are in the same form.

2x+0y=18

2x =18

Divide both sides by 2:

x =18/2

Simplify:

x =9

So if x+y=15 and x=9, then y=6.

The two numbers are 9 and 6.

Test:

9+6=15

9-6=3

You might be interested in

Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar

Brrunno [24]

The distance between the two points is $d=8.6m$

The polar coordinate of A is $\left(4.47,296.57\right)$

The polar coordinate of B is $\left(4.24,135\right)$

Explanation:

The two points are $A(2,-4)$ and $B(-3,3)$

The distance between two points is given by,

$d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6$

Thus, the distance between the two points is $d=8.6m$

The polar coordinates of A can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $A(2,-4)$ , we get,

Distance = $\sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43$

To make the angle positive, let us add 360,

$\theta=360-63.43=296.57$

The polar coordinate of A is $\left(4.47,296.57\right)$

Similarly, The polar coordinate of B can be written as $(Distance, tan^{-1} \frac{y}{x} )$

Distance = $\sqrt{x^{2} +y^{2} }$

Substituting $B(-3,3)$ , we get,

Distance = $\sqrt{(3)^{2}+(3)^{2}}=4.24$

$tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45$

To make the angle positive, let us add 360,

$\theta=180-45=135^{\circ}$

The polar coordinate of B is $\left(4.24,135\right)$

5 0

3 years ago

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Virty [35]

Answer:

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Step-by-step explanation:

7 0

2 years ago

Which type of triangle will always have a perpendicular bisector that is also an angle bisector

Fofino [41]

The answer is an equilateral triangle

5 0

3 years ago

Read 2 more answers

2 ( a - c) = 4a solve for a

Nezavi [6.7K]

Divide both sides by 2
a-c=2a
minus a fromboth sides
-c=a

7 0

3 years ago

Maritza worked at an ice cream parlor selling milkshakes and ice cream cones. Altogether, she sold 149 milkshakes and ice cream

o-na [289]

Answer:

86 milkshakes and 63 ice cream were sold

Step-by-step explanation:

Let the amount of milkshake sold be x

Let the amount of ice cream sold be y

If she sold 149 milkshakes and ice cream cones then;

x+y = 149 ... 1

If the milkshakes sold for $4 and the ice cream cones for $3, with total amount #533 collected then;

4x + 3y = 533 ....2

Solve both equations simultaneously

x+y = 149 ... 1 * 4

4x + 3y = 533 ....2 * 1

________________________

4x+4y = 596

4x+3y = 533

Subtract

4y-3y = 596-533

y = 63

since x +y = 149

x+63 = 149

x = 149 - 63

x = 86

Hence 86 milkshakes and 63 ice cream were sold

6 0

3 years ago