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2 years ago

Which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19

Mathematics

1 answer:

defon2 years ago

7 0

Answer: we multiply the second equation by -2. This property is the multiplication property of equality (1).

Then, we add the two equations generated. (2) addition property of inequality.

Next, we divide both sides of the equation by 13. That is division property of inequality.

Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.

Then, we simplify

Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.

Lastly, we divide both sides of the equation by 4. This is division property of equality.

Step-by-step explanation:

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In ΔQRS, the measure of ∠S=90°, the measure of ∠R=29°, and SQ = 5.8 feet. Find the length of RS to the nearest tenth of a foot.

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Step-by-step explanation:

In ΔQRS,

m∠S=90°
m∠R=29°,
SQ = 5.8 feet.

See the diagram below.

The triangle is a Right Triangle,

Using trigonometric ratios,

$Tan R=\dfrac{|SQ|}{|RS|} \\Tan 29^\circ=\dfrac{5.8}{|RS|}\\$Cross multiply$\\|RS|XTan 29^\circ=5.8\\|RS|=\dfrac{5.8}{Tan 29^\circ}\\$=10.5 ft (to the nearest tenth of a foot)$

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Anna007 [38]

Answer:

2) x = 6 y = 7 3) x = -5 y= 2

Step-by-step explanation:

2) 10x - 8y = 4

2(-5x + 3y = -9)

-10x + 6y = -18

10x - 8y = 4 Add both equations together

-2y = -14

y = 7 Divide both sides by -2

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3) Where the two lines intersect, that is the solution to x and y.

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2 years ago

Which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19 ​

Which properties justify the steps taken to solve the system 4x + 3y =25 2x + 5y=19