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Use the elimination method to solve the following systems of equations.

0 votes
3x+ 4y= 17
−x+ 2y= 1
asked Oct 13 in ALGEBRA 2 by anonymous

1 Answer

0 votes
The system of equations are
3x + 4y  =  17 -------------> (1)
−x + 2y  =  1 --------------> (2)
Multiply Eq (2) with 3 and add it to Eq (1)
Eq (2) X 3 ======>  - 3x + 6y  =  3
Eq (1) =========>     3x + 4y  =  17
                                -------------------------
                                                10y  =  20
                                                    y  =  20/10
                                                    y  =  2
Substitute y = 2 in Eq (1)
3x + 4(2)  =  17
3x + 8  =  17
3x  =  17 - 8
3x  =  9
x  =  9/3
x  =  3
Answer :
The Solutions are ​x  =  3 and y = 2.
answered Oct 14 by homeworkhelp Mentor

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