For Exercises 1−5, choose the correct letter.
What is the solution of the following system of equations?
5x+7y=3
2x=−3y+1
A. (11,17)
B. (2,−1)
C. (11.5,8)
D. (−2,1)

What is the solution of system of equations 5x+7y=3 and 2x=−3y+1 .
Answer to Problem 5STP
The solution for the given equations is x=2 and y=−1 , so option (B) is correct.
Explanation of Solution
Given information: The given equations are,
5x+7y=3....(1)2x=−3y+1....(2)
Calculation: From (2) x=−3y+12 substitute in (1) and simplify,
5(−3y+12)+7y=3....(For x=−3y+12)−15y+5+14y=6−y=1y=−1
Substitute y=−1 in (2),
5x+7(−1)=3....(For y=−1)5x=10x=2
Hence the solution for the given equations is x=2 and y=−1 , so option (B) is correct.
Chapter 6 Solutions
ALGEBRA 1 W/CALCCHAT+CALCVIEW:STUD.ED.
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