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What is the solution to the system of equations? 2x - y = 7 y = 2x + 2 a) (2, 3) b) (2, 7) c) no solution d) infinite number of solutions
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1 vote
What is the solution to the system of equations?

2x - y = 7
y = 2x + 2

a) (2, 3)
b) (2, 7)
c) no solution
d) infinite number of solutions

User Eilleen
by
7.0k points

2 Answers

6 votes
y=2x+2, using the value in the top equation gives you:

2x-(2x+2)=7

2x-2x-4=7

-4=7

Since -4 != 7, there is no solutions to this system of equations.
User Hans Bouwmeester
by
7.5k points
6 votes
2x - y = 7
-2x -2x

-y = -2x + 7
/- /- /-

y = 2x - 7
The answer is D because they have the same slope so the lines are parallel
User Adam Haber
by
7.6k points
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