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melisa1 [442]
3 years ago
7

Please answer this question now in two minutes

Mathematics
1 answer:
bagirrra123 [75]3 years ago
4 0

Answer:

y=x+5

Step-by-step explanation:

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What are the solutions to the following system of equations?<br><br> x − y = 6<br> y = x2 −6
anastassius [24]

The solutions to the given system of equations is (0, -6) and (1, -5)  

<h3>Simultaneous equations</h3>

From the question, we are to determine the solutions to the given system of equations

The equations are

x − y = 6 --------- (1)

y = x² −6 ---------- (2)

From equation (1)

x - y = 6

∴ x = 6 + y ------- (3)

Substitute into equation (2)

y = x² −6

y = (6+y)² −6

y = (6+y)(6+y) -6

y = 36 + 6y + 6y +y² -6

y = 36 + 12y + y² - 6

Simplifying

y² + 12y - y + 30 = 0

y² + 11y + 30 = 0

Solve quadratically

y² + 11y + 30 = 0

y² + 6y + 5y + 30 = 0

y(y +6) +5 (y +6) = 0

(y + 5)(y + 6) = 0

y + 5 = 0 OR y + 6 = 0

y = -5 OR y = -6

Substitute the values of y into equation (3)

x = 6 + y

When y = -5

x = 6 + (-5)

x = 6 -5

x = 1

When y = -6

x = 6 + (-6)

x = 6 -6

x = 0

∴ When x = 0, y = -6 and when x = 1, y = -5

Hence, the solutions to the given system of equations is (0, -6) and (1, -5)  

Learn more on Solving simultaneous equations here: brainly.com/question/16863577

#SPJ!

7 0
2 years ago
Help please!  I will mark brainliest answer! 
maxonik [38]
Double bar graph, double line graph, scatter plot. 
3 0
3 years ago
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The hypotenuse of a 45°-45°-90° triangle measures 7 StartRoot 2 EndRoot units.
Lerok [7]

Answer : Seven Units .

7 0
3 years ago
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Write the ratio 28 to 56 in simplest form
Andre45 [30]
The ratio shown in fraction form would be; \frac{28}{56}

Now to convert it to its simplest form, you need to find their greatest common factor; (so in this case it would be 28...cause 28 goes into 56 evenly)
*Now divide both terms by 28

28 ÷ 28 = 1
56 ÷ 28 = 2
 
so your ratio 28 to 56 in simplest form is.. \frac{1}{2}
Hope this helps :)
6 0
3 years ago
Read 2 more answers
Write an equation of the line with slope 2/3 that goes through the point -2,5
irinina [24]

Answer:

y = 2/3x + 19/3

Step-by-step explanation:

First, this is your current equation: y = 2/3x + b. Plug in your point to the equation, it should look like this: 5 = 2/3(-2) + b. 2/3 times -2 equals -4/3. So, this is what your equation should look like: 5 = -4/3 + b. Add 4/3 to both sides of the equation to get 19/3 = b. Go back to your original equation and plug 19/3 to b. This is your final equation: y = 2/3x + 19/3. Hope this helped!

7 0
3 years ago
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