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2 years ago

What is the solution of the following systems?

Mathematics

2 answers:

bearhunter [10]2 years ago

8 0

3x + 3y = 10 ⇒ 3( 3x + 3y = 10) ⇒ 9x + 9y = 30

-9x - 9y = -30 ⇒ 1(-9x - 9y = -30) ⇒ -9x - 9y = -30

0 + 0 = 0

TRUE

Since it makes a true statement, there are infinite solutions.

When graphing, they are the same line.

Answer: Infinite Solutions

Evgen [1.6K]2 years ago

5 0

$\left\{\begin{array}{ccc}3x+3y=10\\-9x-9y=-30&|\text{divide both sides by 3}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}3x+3y=10\\-3x-3y=-10\end{array}\right}\qquad|\text{add both sides of equations}\\.\qquad\qquad\ \ \ 0=0\\\\3x+3y=10\ \ \ |-3x\\3y=10-3x\ \ \ |:3\\y=\dfrac{10-3x}{3}\\\\Answer:\\\text{It is dependent system of equations}\\\text}Infinite solutions}\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\y=\dfrac{10-3x}{3}\end{array}\right$

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Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

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The correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

<h3>Solving inequality</h3>

From the question, we are to solve the inequality

The given inequality is

–3(2x – 5) < 5(2 – x)

First, clear the brackets

–6x + 15 < 10 – 5x

NOTE: This is one of the correct representations of the inequality

Collect like terms

-6x + 5x < 10 - 15

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Divide both sides by -1 and flip the sign

x > 5

Representing this on a number line, we get a number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right.

Hence, the correct representations of the given inequality are

–6x + 15 < 10 – 5x

and

A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options

Learn more on Inequalities here: brainly.com/question/246993

#SPJ1

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