A system of equations is shown below. Equation A: 5x + 9y = 12 Equation B: 4x – 3y = 8 %3D Which method eliminates one of the variables?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
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Can you please show all the work on paper
A system of equations is shown below.
Equation A: 5x + 9y = 12
Equation B: 4x – 3y = 8
Which method eliminates one of the variables?
1
1.
Multiply equation A by - 3 and add the result to equation B.
2.
Multiply equation B by 3 and add the result to equation A.
Multiply equation A by 2 and equation B by -6 and add the results
3.
together.
Multiply equation B by 5 and equation A by 4 and add the results
4.
together.
Transcribed Image Text:A system of equations is shown below. Equation A: 5x + 9y = 12 Equation B: 4x – 3y = 8 Which method eliminates one of the variables? 1 1. Multiply equation A by - 3 and add the result to equation B. 2. Multiply equation B by 3 and add the result to equation A. Multiply equation A by 2 and equation B by -6 and add the results 3. together. Multiply equation B by 5 and equation A by 4 and add the results 4. together.
Expert Solution
Step 1

Given equation :

   A: 5x+9y=12

   B: 4x-3y=8

We have to eliminate variable either x or y. To eliminate the variable equal the coefficient of variable(either x or y). for this we multiply by some number to equate the coefficient  then add or subtract both equations.

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