Question

2x+3y=-5,3x+y=3 solve by reduction method

Answer 1

Answer:

x=14,y=-11

Step-by-step explanation

Here we know that

2x+3y=-5

x+y=3,I can write that y=3-x .

We got the value of y so we can solve the equation.

2x+3y=-5

2x+3(3-x)=-5

2x+9-3x=-5

2x-3x=-5-9

-x=-14 And x=14.

Here we got the value of x we can now solve the equation.

2x+3y=-5

2×14+3y=-5

28+3y=-5

3y=-5-28

3y=-33

y=-33/3

y=-11

Checking the answer

Put the values of x and y in the equation

2x+3y=-5

2×14+3×-11=-5

28-33=-5

-5=-5