142k views
3 votes
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

1 Answer

4 votes
Answer:
No solution

Step-by-step 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 *
User Arul
by
5.2k points