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natta225 [31]
3 years ago
5

Solve the following system of equations graphically on the set of axes below. y=3x−3 , x+y=5

Mathematics
1 answer:
topjm [15]3 years ago
6 0

Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Hope this helps!

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<u>Step-by-step explanation:</u>

The proof should be written as follows (which is a different order than provided):

  <u>Statement                       </u>                         <u>Reason                                         </u>

1. ABCD is a parallelogram                     1. Given

2. AB||DC and AD||BC and AB ≅ DC     2. Definition of parallelogram

3. ∠ABD ≅ ∠CDB                                    3. Alternate Interior Angles Theorem

4. ∠DEC ≅ ∠BEA                                     4. Vertical Angles Theorem

5. ΔABE ≅ ΔCDE                                    5. AAS Congruency Theorem

6. AE = CE and BE = DE                         6. CPCTC

This is the order provided in your question:

5. ΔABE ≅ ΔCDE                                    5. AAS Congruency Theorem

3. ∠ABD ≅ ∠CDB                                    3. Alternate Interior Angles Theorem

1. ABCD is a parallelogram                     1. Given

2. AB||DC and AD||BC and AB ≅ DC     2. Definition of parallelogram

6. AE = CE and BE = DE                         6. CPCTC

4. ∠DEC ≅ ∠BEA                                     4. Vertical Angles Theorem

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