Answer to Question #207214 in Algebra for Lufuno

Question #207214

Solve the system of the following equations by either substitution or elimination:

3π‘₯π‘₯βˆ’2𝑦𝑦=14

4π‘₯π‘₯βˆ’3𝑦𝑦=17


1
Expert's answer
2021-06-16T12:26:31-0400

solving by elimination

3xxβˆ’2yy=14...............................(1)4xxβˆ’3yy=17...............................(2)3xx-2yy=14...............................(1)\\4xx-3yy=17...............................(2)


To eliminate xx multiply through eqn 1 by 4 and multiply through eqn 2 by 3


12xxβˆ’8yy=5612xxβˆ’9yy=5112xx-8yy=56\\12xx-9yy=51


Subtrating the second equation from the first equation of the previous system


yy=5yy=5


substituting the computed value in the equation 1

3xxβˆ’2(5)=143xxβˆ’10=143xx=14+103xx=24xx=243xx=83xx-2(5)=14 \\3xx-10=14\\3xx=14+10\\3xx=24\\xx=\frac{24}{3}\\xx=8



xx=8

yy=5


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