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zubka84 [21]
3 years ago
9

What ordered pair is a solution to y = x + 5 and x - 5y = -9? I also need to show the work.

Mathematics
1 answer:
Margarita [4]3 years ago
3 0

Answer:

(- 4, 1 )

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

x - 5y = - 9 → (2)

Substitute y = x + 5 into (2)

x - 5(x + 5) = - 9 ← distribute and simplify left side

x - 5x - 25 = - 9

- 4x - 25 = - 9 ( add 25 to both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Substitute x = - 4 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 4 + 5 = 1

Solution is (- 4, 1 )

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Use the Pythagorean identity on page 10 with x = 4 and y= 3 to generate a Pythagorean triple​
Dmitry [639]

Answer:

  c.  7, 24, 25

Step-by-step explanation:

For the formulas ...

  • a=x^2-y^2
  • b=2xy
  • c=x^2+y^2

we can use the given values of x and y to find the corresponding Pythagorean triple:

  a = 4^2 -3^2 = 16 -9 = 7

  b = 2·4·3 = 24

  c = 4^2 +3^2 = 16 +9 = 25

The generated Pythagorean triple is (7, 24, 25), matching answer C.

6 0
2 years ago
How do you simplify 19/228
Brilliant_brown [7]

you find what they both divide by and then divide each one and then you keep doing that until you cant no more

3 0
3 years ago
Read 2 more answers
Which of the following is one of the factors of the polynomial
RUDIKE [14]

Answer:

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Step-by-step explanation:

15x^2-x-2

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7 0
2 years ago
State the slope and y intercept of the graph of 9-x=2y
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3 years ago
Which transformations take f(x)=3x+1 to g(x)=−3x-5 ?
lbvjy [14]
<span>reflection over the x-axis and a translation 4 units down Refelcting f(x) over the x axis gives -f(x)=-3x-1 Subtracting a constant from -f(x) moves the graph of -f(x) that many units down. -f(x)-4=-3x-5=g(x) This shows that g(x) is obtained by reflecting f(x) over the x-axis and then translating 4 units down.</span>
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