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Choose the correct words from the drop-down menu to make a true statement about the system of equations. 2x + y = 2
Question
Choose the correct words from the drop-down menu to make a true statement about the system of equations.
2x + y = 2
y = –2x – 1
Using substitution, the system has
Choose…
– One solution
– Infinitely many solutions
– No solution
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Mathematics
4 years
2021-08-21T15:44:06+00:00
2021-08-21T15:44:06+00:00 1 Answers
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Answers ( )
Answer:
No solution
Explanation:
the problem 2x+y=2 can be written into slope intercept form by subtracting 2x from both sides. You should now have y= —2x + 2 following the formula y=mx+b. The formulas y= —2x – 1 and y= —2x + 2 now have the same slope but different y-intercepts so the answer CANT be infinitely many. In order to have a single (one) solution, you’d need a similar y- intercept. This being said, you would eliminate “one solution”
Keep in mind:
* Y intercept is b in the formula y=mx+b *