How do you find the answer of -22-x=5+6x+9???

Answers

Answer 1

Answer: -22-x=5+6x+9
-6x-x=22+5+9
-7x=36
x=5.142

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Pls help :) solve. b-^4 =1/81 b

Answers

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What are the solutions to the system of equations?

Answers

Answer:

A. $(1,5)$ and $(5,13)$

Step-by-step explanation:

We have been given a system of equations. We are asked to find the solution of our given system.

$\left \{ {{y=x^2-4x+8}\atop {y=2x+3}} \right.$

Equate both equations:

$x^2-4x+8=2x+3$

$x^2-4x-2x+8-3=2x-2x+3-3$

$x^2-6x+5=0$

Split the middle term:

$x^2-5x-x+5=0$

$x(x-5)-1(x-5)=0$

$(x-5)(x-1)=0$

Use zero product property:

$(x-5)=0\text{ (or) }(x-1)=0$

$x=5\text{ (or) }x=1$

Now, we will substitute both values of x, in our given equation to solve for y.

$y=2x+3$

$y=2(1)+3$

$y=2+3$

$y=5$

One solution: $(1,5)$

$y=2x+3$

$y=2(5)+3$

$y=10+3$

$y=13$

2nd solution: $(5,13)$

Therefore, option A is the correct choice.

Answer:

Step-by-step explanation:

Given the 2 equations

y = x² - 4x + 8 → (1)

y = 2x + 3 → (2)

Since both express y in terms of x we can equate the left sides, that is

x² - 4x + 8 = 2x + 3 ( subtract 2x + 3 from both sides )

x² - 6x + 5 = 0 ← in standard form

(x - 1)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 5 = 0 ⇒ x = 5

Substitute these values into (2) for corresponding values of y

x = 1 : y = (2 × 1) + 3 = 2 + 3 = 5 ⇒ (1, 5)

x = 5 : y = (2 × 5) + 3 = 10 + 3 = 13 ⇒ (5, 13)

Solutions are (1, 5) and (5, 13)

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