Question

Solve this equation

4x+y+1 = 0
3x+2y = 3

Answer 1

First we need an equation for x or y.

But, there are both of them. In this situation, we eliminate one of them.

Elimination method :

Multiply then subtract / add.

We can multiply 2 to the first equation.

8x+2y+2=0, 3x+2y=3

Now, we eliminate 2y, by subtraction.

5x+2=-3

5x=-5

Therefore, x is -1. By subtraction, y is 3.

Verification

-4+3+1=0

-3+6=3

Therefore x=-1 and y=3.

Answer 2

Answer:

4x + y + 1 = 0. :(1)

3x + 2y = 3. : (2)

consider the first equation

4x + y + 1= 0

4x + y = -1

4x = -1-y

x = ( -y -1 ) ÷4 : ( 3)

put this value of X in second equation

3x + 2y = 3

3( ( -1-y) ÷ 4 ) +2y = 3

(-3-3y) ÷ 4 + 2y = 3

(-3y -3 + 8y) '÷4= 3

(5y - 3 )÷4=3

5y-3 =4×3

5y - 3 = 12

5y - 3 = 12

5y = 15

y = 3

Now put the value of y in 3 equation

x = ( -y - 1 ) ÷ 4

x = ( -3 -1 ) ÷ 4

x = ( -4) ÷ 4

x = -1

so X equals to -1 and y equals to 3