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What is the solution to the system of equations The equations 9x-10y=6, 8x-10y=-23, 9x+10y=-16, and 8x+10y=13

kotegsom [21]

Answer to Q1:

(29,25.5)

Step-by-step explanation:

We have given a system of equations.

9x-10y = 6 eq(1)

8x-10y = -23 eq(2)

We have to solve given system of equations by finding the value of x and y.

Subtracting eq(1) from eq(2), we have

9x-10y-(8x-10y) = 6-(-23)

9x-10y-8x+10y = 6+23

Adding like terms, we have

x+0y = 29

x = 29

Putting above value of x in eq(1), we have

9(29)-10y = 6

261-10y = 6

Adding -261 to both sides of above equation, we have

-261+261-10y = -261+6

-10y = -255

Dividing by -10 to both sides of above equation, we have

y = -255 / -10

y = 25.5

Hence, the answer of 9x-10y=6, 8x-10y=-23 is (29,25.5).

Answer to Q2:

(-29,24.5)

Step-by-step explanation:

We have given a system of equation.

9x+10y = -16 eq(1)

8x+10y = 13 eq(2)

We have to find the value of x and y.

Subtracting eq(1) from eq(2), we have

9x+10y-(8x+10y) = -16-13

9x+10y-8x-10y = -16-13

Adding like terms, we have

x +0y = -29

x = -29

Putting the value of x in eq(1), we have

9(-29)+10y = -16

-261+10y = -16

10y = -16+261

10y = 245

y = 245 / 10

y = 24.5

Hence , the solution of 9x+10y=-16, and 8x+10y=13 is (-29,24.5).

3 0

3 years ago

1. What is the value of n?

Karo-lina-s [1.5K]

N=5
AC = 33
AC = 150

Explanation:
If two chords intersect inside a circle, the products of their segments is equal. For this circle, this means that
(n+1)(18)=(n+7)(9)

Using the distributive property on both sides,
n*18+1*18 = n*9+7*9
18n+18=9n+63

Subtract 9n from both sides:
18n+18-9n=9n+63-9n
9n+18=63

Subtract 18 from both sides:
9n+18-18=63-18
9n=45

Divide both sides by 9:
9n/9 = 45/9
n=5

The measure of an inscribed angle is equal to half of the measure of the intercepted arc. For the second image, this means that
2.5x+4=1/2(7x-2)

Using the distributive property:
2.5x+4=1/2(7x)-1/2(2)
2.5x+4=3.5x-1

Subtract 2.5x from both sides:
2.5x+4-2.5x=3.5x-1-2.5x
4=1x-1

Add 1 to both sides:
4+1=1x
5=1x
5=x

Substitute this in for x in AC:
7x-2=7*5-2=35-2=33

For the third image, we have
75=1/2(AC)

Multiplying both sides by 2:
75*2=AC
150=AC

5 0

4 years ago

Your bank balance is $102.35 and you've just made purchases for $20, $33.33, and $52.80. You then make deposits of $25 and $24.7

Dafna11 [192]

It is A because when you add the amount of your purchases and you subtract it from 102.35. You get a negative number. Then you add that negative number to 25 and 24.75.

4 0

4 years ago

Read 2 more answers

What are the foci of the hyperbola represented by the equation (x^2)/64 - (y^2)/32 =1

natulia [17]

Answer:

x = √2y^2 + 64 or x = √2y^2 + 64

Step-by-step explanation:

Solve for x.

x^2/64 - y^2/32 = 1

Step 1: Add 1/32 y^2 to both sides.

1/64 x^2 + -1/32 y^2 + 1/32 y^2 = 1 + 1/32 y^2

Step 2: Divide both sides by 1/64.

1/64 x^2/ 1/64 = 1/32 y^2 + 1/ 1/64

x^2 = 2y^2 + 64

Step 3:

x = √2y^2 + 64 or x = √2y^2 + 64

8 0

3 years ago

Read 2 more answers

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1),

Rainbow [258]

We need to remove either (1, 4) or (1, 1) to create a function.

<h3>How to alter a relation in order to obtain a function</h3>

Relations are formed by two sets, an input set known as domain and an output set known as range and relationships between these sets. A relation is a function if and only if each element from domain is related to only one element of the range. Mathematically speaking, we must satisfy the following proposition:

x → f(x), x → f'(x) ⇒ f(x) = f'(x)

Based on this definition, there are two possibilities to create a function:

Remove (1, 4)
Remove (1, 1)

To learn more on functions: brainly.com/question/12431044

#SPJ1

4 0

2 years ago