Question

2x+3y=0 and x+2y=-1 Solve by substitution

Answer 1

Answer:

The solution of the given equations is (-3,2)

Step-by-step explanation:

Step:1

The Given equations are 2 x+3 y=0 .......(1)

                                          x+2 y-1 =0.........(2)

Step 2:-

Solving both equations by using substitution method

multiply equation (2) with number '2' ,  

2 x+4 y-2=0.......(3)

subtracting the equations (1) and (3) and cancelled 'x' terms

we get $3y-4y=0-2$

$y=2$

Step 3:-

substitute y= 2 in equation (1) we get

$2 x+3 y=0$

$2 x+3(2)=0$

$2 x=-6$

$x=-3$

Final answer:-

The solution of the given equations is (-3,2)