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Sladkaya [172]
3 years ago
9

What is y=-6x=7 y=8x-21 in solving system by substitution method?

Mathematics
1 answer:
butalik [34]3 years ago
5 0
So,

Notice that y is equal to two different equations.

Since we know that, we can simply put the right sides of both equations side-by-side.

-6x + 7 = 8x - 21

Add 6x to both sides
7 = 14x - 21

Add 21 to both sides
28 = 14x

Divide both sides by 14
2 = x

Substitute in the second equation
y = 8(2) - 21

Distribute
y = 16 - 21

Collect Like Terms
y = -5

Check
-5 = -6(2) + 7
-5 = -12 + 7
-5 = -5 This checks.

Check in second equation
-5 = 8(2) - 21
-5 = 16 - 21
-5 = -5 This also checks.

S = {(2,-5)}
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Y-2 = -3(x + 6), write the equation of the line in slope intercept form.
lisov135 [29]

Answer:

y = -3x - 16

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Given: y - 2 = -3(x + 6)

Slope-intercept form: y = mx + b

To write the equation in slope-intercept form, we need to know the slope(m) and the y-intercept(b). By looking at the given equation, we can see that the slope is -3. We are also given the value of one point: (-6, 2).

To find the y-intercept, input the given values of the slope and the point into the equation format and solve for b:

y = mx + b

2 = -3(-6) + b

2 = 18 + b

Subtract 18 from both sides of the equation to isolate b:

2 - 18 = 18 - 18 + b

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The y-intercept is -16.

Now that we know the slope and the y-intercept, we can write the equation:

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8 0
3 years ago
What is the answer Factorise: 2x² +7x+6.<br><br>​
Mila [183]

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

7 0
3 years ago
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gayaneshka [121]
C. 

Notice that both sides point towards infinity. This means that it is an even degree. Also, it crosses the x axis twice, which makes it have 2 real zeroes. 
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