For what values of a and b does the following pair of linear equations have an infinite number of solutions (i) 2x+3y=9 and (a+b)x + (2a-b)y=3(a+b+1) answer

We are given

system of equations as

It will have infinite solution when both equations will become same

so, we will set coefficients of x and y of both terms equal

We can see

coefficient of x in first equation is 2

coefficient of x in second equation is a+b

so, we get

coefficient of y in first equation is 3

coefficient of y in second equation is 2a-b

so, we get

now, we can find b from first equation

we can plug it in above equation

now, we can solve for a

we get

now, we can find b

so,

.................Answer

it is part of the rising action that reveals public sentiment toward hester.

explanation:

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.