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3 years ago

3x + y = 5 2x - 2y = -2

Mathematics

2 answers:

zalisa [80]3 years ago

8 0

Answer:

y =5-3x

and

Step-by-step explanation:

First question

Subtract 3 x from both sides of the equation

Vesnalui [34]3 years ago

7 0

Answer:

Solving the system of equations:

x: 1

y: 2

Step-by-step explanation:

Plug it in to see if it is right, to make sure of course. Better to be safe than sorry.

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3 years ago

Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove

bonufazy [111]

Answer:

C) Subtraction property of equality.

Step-by-step explanation:

Given that, two lines $x$ and $y$ intersect to make pairs of vertical angles:

$\angle q, \angle s$ and $\angle r, \angle t$ .

Kindly refer to the attached image for details of the given angles and lines.

Proof that $\angle q\cong \angle s$ :

$\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}$

Here, subtraction property of equality is used in the last step shown in the above.

As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.

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