find the values of p and q​

If the ordered pairs (p, -1) and (5, q) belong to {(x, y): y = 2x-3}, find the values of p and q.

Given -

{(x, y): y = 2x-3)}

To find -

Solution -

{(x, y): y = 2x - 3}

Putting,

x = p and y = -1

[tex]\:\:\:\:\:\implies\:\:[/tex] {(p, -1): - 1 = 2p - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] -1 + 3 = 2p

[tex]\:\:\:\:\:\implies\:\:[/tex] {2 = 2p}

[tex]\:\:\:\:\:\implies{\tt{\:\:p=\frac{\cancel{2}}{\cancel{2}}}}[/tex]

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:p=1}}}[/tex]

{(x, y): y = 2x -3}

Putting,

x = 5 and y = q

[tex]\:\:\:\:\:\implies\:\:[/tex] {(5, q): q = 2(5) - 3}

[tex]\:\:\:\:\:\implies\:\:[/tex] q = 10 - 3

[tex]\:\:\:\:\:\implies{\boxed{\tt{\:\:q=7}}}[/tex]

[tex]\therefore\bf{p=1\:and\:q=7}[/tex]

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100 points

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I know the answer I just need explanation as to why this is the answer!

The question:

3. Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.

The answer:

Student A is Wrong and student B is correct!



The work of the students:

You are given line AB and point C. Construct a line parallel to line AB that passes through point C.



Student A Steps:

Draw a line that intersects points B and C.

Draw a line through point C and point G.

Keep the compass at the same width, and place it on point C.

Keeping the compass at the same width, place it on point F.

Mark the intersection of the two arcs as point G.

Open the compass to the width between points D and E.

Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.

Swing an arc that crosses line BC, and label the point F.

Swing an arc that intersects the arc created from line BC at point C.


Student B steps:

Draw a line that intersects points B and C.

Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.

Keep the compass at the same width, and place it on point C.

Swing an arc that crosses line BC, and label the point F.

Open the compass to the width between points D and E.

Keeping the compass at the same width, place it on point F.

Swing an arc that intersects the arc created from line BC at point C.

Mark the intersection of the two arcs as point G.

Draw a line through point C and point G.

What is the slope intercept of a line that passes through points (-4,-1) and (-8,7).

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BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY!!!

1) soe soe had 15kg of flour. She used 4/5 of it to make some cookies. How many kilograms of flour had she left?

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