142k views
1 vote
How many solutions does this linear system have?

y = 2x – 5      

–8x – 4y = –20

how many?

2 Answers

5 votes

Answer:

Explanation:

5

User Sabri
by
4.6k points
2 votes
rearrange the first equation so it matches the second equation and then use elimination method to solve. Or substitute 2x-5 for y into the second equation and solve. You will end up with one of the following:
--> x = some value and y = some value (ONE SOLUTION)
--> A True statement, such as 0 = 0, or 1=1, etc (INFINITELY MANY SOLN'S)
--> A False statement, such as 0 = 1, or 5 = 7, etc (NO SOLUTIONS)

Using substitution method:
-8x - 4(2x - 5) = -20
-8x - 8x + 20 = -20
-16x = -40
x = -40/16

Answer: One Solution


User Holiveira
by
5.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.