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3 years ago

Solve the following system of equations and show all work. y = 2x^2 y = –3x −1

Mathematics

1 answer:

lidiya [134]3 years ago

4 0

Answer:(- 1/2, 1/2)

(- 1, 2)

Step-by-step explanation:

The given system of equations is expressed as

y = 2x²- - - - - - - - - - - - - - -1

y = - 3x - 1- - - - - - - - - -- - - -2

We would apply the method of substitution by substituting equation 1 into equation 2. It becomes

2x² = - 3x - 1

2x² + 3x + 1 = 0

We would find two numbers such that their sum or difference is 3x and their product is 2x². The two numbers are 2x and x. Therefore,

2x² + 2x + x + 1 = 0

2x(x + 1) + 1(x + 1) = 0

2x + 1 = 0 or x + 1 = 0

x = - 1/2 or x = - 1

Substituting x = - 1/2 into equation 1, it becomes

y = 2(-1/2)² = 1/2

Substituting x = - 1 into equation 1, it becomes

y = 2(-1)² = 2

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Solve the equation. 5/7=10/x+2

skelet666 [1.2K]

Answer:

$x=-\frac{70}{9}$

Step-by-step explanation:

Isolate the variable by doing operations to both sides of the equation.

The work is shown below:

$\frac{5}{7} =\frac{10}{x} +2\\\\\frac{5}{7} - 2=\frac{10}{x} +2 - 2\\\\-\frac{9}{7} = \frac{10}{x}\\\\ -\frac{9}{7}*x = \frac{10}{x}*x\\\\ -\frac{9}{7}x = 10\\\\ -\frac{9}{7}x * (-\frac{7}{9})= 10 * (-\frac{7}{9}) \\\\x=-\frac{70}{9}$

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3 years ago

Read 2 more answers

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Marrrta [24]

Answer:

$0.069\ kg$

Step-by-step explanation:

we know that

1 kg=1,000 g

using proportion

Find out how many kilograms are 69 grams

Let

x -----> the weight in kg

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3 years ago

What are the values of x in the equation 4x^2+4x-3=0

ludmilkaskok [199]

I have an answer and an explanation!

ANSWER: $X=\frac{1}{2} (or) x= \frac{-3}{2}$

Explanation:

{Let's solve your equation step-by-step.}
 $4 x^{2} +4x-3=0$

{Step 1: Factor left side of equation.}
 $(2x-1)(2x+3)=0$

{Step 2: Set factors equal to 0.}
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3 years ago

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Answer:

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