What is the solution of the system of equations? y = 2x - 3 5x + y = 11 A (2, 1) B (1, 2) C (3, -4) D (1, -1)

What is the solution of the system of equations? y = 2x - 3 5x + y = 11 A (2, 1) B (1, 2) C (3, -4) D (1, -1)

Question
Systems of equations
asked 2021-02-20
What is the solution of the system of equations?
y = 2x - 3
5x + y = 11
A (2, 1)
B (1, 2)
C (3, -4)
D (1, -1)

Answers (1)

2021-02-21
Let:
y=2x−3(1)
5x+y=11(2)
Solve by substitution. Substitute (1) to (2) and solve for x:
5x+(2x−3)=11
7x−3=11
7x=14
x=2
Solve for yy using (1):
y=2(2)−3
y=1
So, the solution of the system is:
(2,1)
which is choice A.
0

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