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For what ordered pair (a, b) are there infinite solutions (x, y) to the system

4x+ay=-8,
2x+y=b

 Dec 4, 2020

Best Answer 

 #1
avatar+40 
+2

Put each equation slope-intercept form (It would look like this):

y=-4x/a-8/a and y=-2x+b

for two equations to have infinite solutions, you need them to be the same equation. 

For the coefficient of x to match, a would have to be 2. this also means that if a is two, b has to be -4 since the y-intercept have to match so the ordered pair must be (2, -4)

 Dec 4, 2020
 #1
avatar+40 
+2
Best Answer

Put each equation slope-intercept form (It would look like this):

y=-4x/a-8/a and y=-2x+b

for two equations to have infinite solutions, you need them to be the same equation. 

For the coefficient of x to match, a would have to be 2. this also means that if a is two, b has to be -4 since the y-intercept have to match so the ordered pair must be (2, -4)

ChattyChen Dec 4, 2020
 #2
avatar+114592 
0

Very nice, ChattyChen  !!!!

 

 

cool cool cool

CPhill  Dec 4, 2020

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