Question

Hey! If this question is answered in less than 5 mins with proper explanation, I shall mark you as brainliest!

For what values of ‘a’ and ‘b’ the following pairs of equation will have infinitely many solutions?
2x + 3y = 7 ;
2ax + by = 28 – by

Answer 1

Answer:

a = 4;b=6

Step-by-step explanation:

As the ratio of

$\frac{a1}{a2 } = \frac{b1}{b2 } = \frac{c1}{c2} = \frac{1}{4}$

And thus we will get infinite sol^ n

Hope it helps

Answer 2

$\tt\huge\purple{hello!!!}$

HERE IS UR ANSWER

$_____________________________$

2x + 3y = 7

2x+3y-7=0..(i)

2ax + by = 28 – by

2ax+by+by-28=0

2ax+2by-28=0..(ii)

$if \: \frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$

then,the solutions are infinite.

from (i) and (ii)

$\frac{2}{2a} = \frac{3}{2b} = \frac{ - 7}{ - 28} \\ for \: a \\ \frac{2}{2a} = \frac{ - 7}{ - 28} \\ \frac{1}{a} = \frac{1}{4} \\ a = 4 \\ for \: b \\ \frac{3}{2b} = \frac{ - 7}{ - 28} \\ \frac{3}{2b} = \frac{1}{4} \\ 2b = \frac{12}{1} \\ b = \frac{12}{2} = 6$