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Leokris [45]
3 years ago
14

Betty correctly determined that the ordered pair (–3, 5) is a solution to the system of linear equations 6 x + 5 y = 7 and x + 4

y = 17. Based on this information, which statement is correct?
Mathematics
2 answers:
viva [34]3 years ago
7 0

Answer:

(-3, 5) satisfies both the equation 6x + 5y = 7 and the equation x + 4y = 17.

andriy [413]3 years ago
5 0

Answer:

D

Step-by-step explanation:

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olya-2409 [2.1K]

Which statements are true about the ordered pair  <span>(−1, 5)</span> and the system of equations?

<span>{<span><span>x+y=4          </span><span>x−y=−6</span></span></span>

Select each correct answer.

<span>The ordered pair  <span>(−1, 5)</span> is a solution to the first equation because it makes the first equation true.The ordered pair  <span>(−1, 5)</span> is a solution to the second equation because it makes the second equation true.The ordered pair  <span>(−1, 5)</span> is not a solution to the system because it makes at least one of the equations false.The ordered pair  <span>(−1, 5)</span> is a solution to the system because it makes both </span>
6 0
3 years ago
Which one doesn’t belong
aniked [119]

Answer:

x+5=5

Step-by-step explanation:

This is an equation where you are actually solving it. The others are expressions.

3 0
3 years ago
Find the value of the following expression:
77julia77 [94]
The answer is 9

I hope this helped! Have a great day/evening/night! :)

5 0
3 years ago
Suppose m is in the line given by the equation 6x-3y=7, and suppose n is the line perpendicular to m and passing Nd through the
stealth61 [152]

Answer:

The x co-ordinate o intersection of line k and n is \frac{8}{11}

Step-by-step explanation:

Given as :

The equation of line m is 6 x - 3 y = 7

So, in the standard form , line equation is

y = a x + c  , where a is the slope

So,  6 x - 3 y = 7 can be written as

3 y = 6 x - 7

or,  y = 2 x - \frac{7}{3}       ........1

So, slope of this line = a = 2

Now, The line n is perpendicular to line m and passing through line ( 6 , 2 )

So, Slope of line n = b

For , perpendicular lines , products of slope = - 1

Or, a × b = -1

∴  b = - \frac{1}{a}

I.e b = - \frac{1}{2}

So,equation of line n with slope b and passing through line ( 6 , 2 ) is

y - y_1 = b ( x - x_1 )

or, y - 2 =  - \frac{1}{2} ( x - 6 )

or, 2 × ( y - 2 ) =  - 1 ( x - 6 )

or, 2 y - 4 = - x + 6

or, x + 2 y -10 = 0          ........2

Again, equation of line k with slope 5 and y intercept = 1

For y intercept , x coordinate = 0

y = c x + c

or, 1 = c× ( 0 ) + c

Or, c = 1

Or, equation of line k is

y = 5 x + 1           ..........3

Now intersection of line k and n is

put the value of y from eq 3 into eq 2

I.e x + 2 × (  5 x + 1  )-10 = 0  

Or, x + 10 x + 2 - 10 = 0

or, 11 x - 8 = 0

or 11 x = 8

∴  x = \frac{8}{11}

Hence The x co-ordinate o intersection of line k and n is \frac{8}{11}  Answer

4 0
3 years ago
What is 5s-9&lt;2s+12
IRINA_888 [86]

5s-9 < 2s+12\ \ \ \ \ |\text{add 9 to both sides}\\\\5s < 2s+21\ \ \ \ |\text{subtract 2s from both sides}\\\\3s < 21\ \ \ \ |\text{divide both sides by 3}\\\\\boxed{x < 7\to s\in(-\infty,\ 7)}

5 0
3 years ago
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