What is the solution of the system of equations?y = 2x - 35x + y = 11A (2, 1)B (1, 2)C (3, -4)D (1, -1)

Lipossig 2021-02-20 Answered

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

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Expert Answer

Isma Jimenez
Answered 2021-02-21 Author has 7466 answers

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.

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