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Lady_Fox [76]
3 years ago
6

13. Solve the following system by any method. 8x + 9y = –5 –8x – 9y = 5

Mathematics
2 answers:
Nady [450]3 years ago
7 0
Just add the like terms together.
Roman55 [17]3 years ago
6 0
Answer: <span><span>the system is indeterminate and has infinite solutions.

Justification.
</span>

1) System:

Given:

  8x + 9y = –5
–8x – 9y = 5

2) I will show you that system is not determined:

Add the two equations:

8x - 8x + 9y - 9y = - 5 + 5

0 = 0

3) You have gotten an identity which is true for all x, meaning that there are infinite solutions.

So, the answer is that the system is indeterminate and has infinite solutions.

Do you know why does that happen?

It is because the two equations are equivalent, meaning that they are the same line.

You can prove that the two equations are equivalent by multiplying any of them by -1, which will turn one equation into the other.

For example, multiply 8x + 9y = - 5 times - 1:

=> - 8x - 9y = 5,which is the second equation.
</span>
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I am a pattern block that has 2 fewer sides than a hexagon. I have 2 pairs of parallel sides a 4 right angles. Which shape am I
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you are a square

Step-by-step explanation:

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8 0
3 years ago
A+b=77,a-b=13 care sun nr
STALIN [3.7K]
It's a simultaneous equation:
Steps:
1.Number the equations..

a+b=77 -1
a-b=13 -2

2. Choose what variable you want to use. In this case I would use the "b". Since the signs in front of the "b's" are different, add the two equations together

a + b = 77
+ + +
a (-b) = 13

Which gives;
2a = 90

Then solve to find a:
2a=90
a= 90/2
a=45

3.Then plug the "a" value into any of the original equations to find the "b" value. I would use equation 1 since the all the variables are positive.

a + b = 77
(45) + b = 77
b=77-45
b=32

4.Solution

a=45
b=32
3 0
3 years ago
The football team has a total of 50 jerseys. There are 10 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized j
mrs_skeptik [129]

Answer:

it is 20% your welcome


Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
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2 years ago
The function f is linear. If f(2) = 2 and f(-6)=6 find f(6)
lina2011 [118]
The\ slope-intercept\ form:y=mx+b\\\\f(2)=2\to for\ x=2\to y=2\\f(-6)=6\to for x=-6\to y=6\\\\put\ in\ equation\ of\ the\ line:\\\\  -\left\{\begin{array}{ccc}2=2m+b\\6=-6m+b\end{array}\right\ \ \ |subtract\ sides\ of\ the\ equations\\----------\\.\ \ \ -4=8m\ \ \ \ \ |divide\ both\ sides\ by\ 8\\.\ \ \ \ \boxed{m=-\frac{1}{2}}\\\\put\ m=-\frac{1}{2}\ to\ equation\ 2=2m+b:\\\\2=2\cdot(-\frac{1}{2})+b\\2=-1+b\ \ \ \ |add\ 1\ to\ both\ sides\\\boxed{b=3}\\\\\boxed{\boxed{y=-\frac{1}{2}x+3}}

therefore:f(x)=-\frac{1}{2}x+3\Rightarrow f(6)=-\frac{1}{2}\cdot6+3=-3+3=0\\\\Answer:\boxed{f(6)=0}
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3 years ago
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