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3 years ago

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What is the solution for y=0.5x+3.5 and y=-2/3x+1/3 shown on the graph

1 answer:

valentinak56 [21]3 years ago

3 0

In this item, we are given with a system of linear equation as written below.
y = 0.5x + 3.5
y = -2x/3 + 1/3

To determine the values of x and y, we use the substitution method. We substitute the expression for y from the first equation to that of the second equation so that the equation becomes.
0.5x + 3.5 = -2x/3 + 1/3

Multiply the equation by 6.
3x + 21 = -4x + 2
Transpose all the terms with variables to one side and the constants to the other.
(3x + 4x) = 2 - 21
7x = -19

Divide the equation by 7,
x = -19/7

The value of y,
y = (0.5)(-19/7) + 3.5 = 15/7

<em>ANSWER:</em>
<em> x = -19/7</em>
<em> y = 15/7</em>

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2 years ago

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Read 2 more answers

Which expressions simplify to a rational answer? Select each correct answer. 29√⋅4√ 3√⋅16−−√ 73⋅−√3√ 5√⋅5√

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The correct options are 1, 3 and 4.

Step-by-step explanation:

We need to find the expressions whose simplified form is a rational number.

Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.

For example: 0,2, 4.3 etc.

Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.

First expression is

$2\sqrt{9}\cdot \sqrt{4}=2(3)\cdot (2)\Rightarrow 6\cdot 2=12$

12 is a rational number.

Second expression is

$\sqrt{3}\cdot \sqrt{16}=\sqrt{3}\cdot 4\Rightarrow 4\sqrt{3}$

$4\sqrt{3}$ is an irrational number.

Third expression is

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21 is a rational number.

Fourth expression is

$\sqrt{5}\cdot \sqrt{5}=5$

5 is a rational number.

Therefore, the correct options are 1, 3 and 4.

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3 years ago