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Luden [163]
3 years ago
13

Which steps could be part of the process in algebraically solving the system of equations, y + 5x = x2 + 10 and y = 4x –

Mathematics
1 answer:
mafiozo [28]3 years ago
3 0

Answer:

0 = x2 - 9x + 20

Step-by-step explanation:

y + 5x = x² + 10     Simplify this equation

  - 5x   - 5x

y = x² - 5x + 10

Set both equations equal to each other since they both equal y

x² - 5x + 10 = 4x - 10

    -4x           - 4x

x² - 9x + 10 = -10

         + 10   + 10

x² - 9x + 20 = 0

If this answer is correct, please make me Brainliest!

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What is the solution to this system of equations?
Maurinko [17]

Answer:

  (x, y) = (5, -2)

Step-by-step explanation:

A graphing calculator provides a quick and easy way to find the solution.

_____

There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:

The intercepts of the first equation are ...

  • x-intercept = 26/4 = 6 1/2
  • y-intercept = -26/3 = -8 2/3

So the graph of it will form a triangle with the axes in the 4th quadrant.

The intercepts of the second equation are ...

  • x-intercept = 11/3 = 3 2/3
  • y-intercept = 11/2 = 5 1/2

So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.

The only 4th-quadrant answer choice is (5, -2).

3 0
3 years ago
Y=x^2+6x-72 write the equation in vertex form
deff fn [24]

The answer is y = 1(x + 3)^2 - 81.

4 0
2 years ago
Help me please with the steps on how you can find the number of solutions or zeros with these questions!
arsen [322]

Answer:

2x²+5x-9=0

using quadratic formula

a=2 b=5 c=-9

x=[-5±√5²-4(2)(-9)]/2(2)

x=[-5±√97]/4

the zeros are( -5±√97)/4

6 0
3 years ago
Identify the coefficients in the expression below.<br><br> -6x+5y+4x+9
Montano1993 [528]

Answer:

3 coefficients in this expression are: -2x, 5y and 9 (natural number)

Step-by-step explanation:

-6x + 5y + 4x + 9

= -6x + 4x + 5y + 9

= -2x + 5y + 9

3 coefficients in this expression are: -2x, 5y and 9 (natural number)

Hope this help you :3

5 0
3 years ago
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