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Use the elimination method to solve the following systems of equations

0 votes
5x+ 8y= 25
3x−15 =y
asked Oct 13, 2018 in ALGEBRA 2 by anonymous
reshown Oct 13, 2018 by bradely

1 Answer

0 votes
The system of equations are
5x + 8y  =  25 ------------> (1)
3x − 15  =  y --------------> (2)
Rewrite the equation (2)
3x - y  =  15 -------------> (3)
Multiply Eq(3) with 8 and add to Eq (1)
Eq (3) X 8 ======>  24x - 8y  =  120
Eq (1) =========>    5x + 8y  =  25
                             ------------------------------
                                    29x  =  145
                                        x  =  145/29
                                        x  =  5
Substitute x = 5 in Eq (2)
3(5) − 15  =  y
15 − 15  =  y
y  =  0
Answer :
The solutions are x = 5  and  y = 0.
answered Oct 14, 2018 by homeworkhelp Mentor

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