Question

solve the following equation by the method of elimination by equating the coefficients

12x+5y=17 and 7x-y=6​

Answer 1

Answer:

x=1 y=1

Step-by-step explanation:

So to make the coefficients equal by eliminating..

12x+5y=17------ (1)

7x-y=6------(2)

So let us make the "y" coefficents equal

So we must multiply (1) with 1 and (2) with -5

Then the equations would be.. (subtracting both equations)

12x+5y=17                          

-35x+5y=-30                  (it will become +35x since we are subtracting and -5x

                                          and +30)

So when we add we will get 47x=47

Therefore x=1 and when we substitute the value of x in (1) we get 12+5y=17

Therefore 5y=5

Therefore  y=1

Thank u for waiting

Answer 2

Answer:

x = 1 , y = 1

Step-by-step explanation:

12x + 5y = 17 -----(i)

7x - y = 6 ----------(ii)

multiply eq.(ii) by -5 we get

-35x + 5y = -30 -----(iii)

sub. eq (i) from (iii) we get

-35x + 5y + 30 - ( 12x + 5y - 17 ) = 0

-35x + 5y + 30 - 12x - 5y + 17 = 0

-47y + 47 = 0

-47y = -47

y = 1

Put y = 1 in eq.(i) we get

12x + 5y = 17

12x + 5(1) = 17

12x + 5 = 17

12x = 17-5

12x = 12

x = 1