For what ordered pair (a, b) are there infinite solutions (x, y) to the system
4x+ay=-8,
2x+y=b
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)
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)