Question

Solve the system of equation 2x + y = -4 and 5x – 3y = 1 by the method of Elimination

Answer 1

Answer:

x=13/11,y= -70/11

Step-by-step explanation:

Multiply first eqn by 3

Add two equations now to get x=13/11

Substitute x in any eqn to get y

Answer 2

Answer:  x = -1 and y = -2 is the solution of the system of equations 2x + y = -4 and 5x – 3y = 1

Step-by-step explanation:Solution:  

The given equations are:  

2x + y = -4       …………… (i)  

5x – 3y = 1       …………… (ii)  

Multiply equation (i) by 3, we get;  

{2x + y = -4} …………… {× 3}

6x + 3y = -12       …………… (iii)  

Adding (ii) and (iii), we get;  

Elimination method

or, x = -11/11

or, x = -1

Substituting the value of x = -1 in equation (i), we get;

2 × (-1) + y = -4

-2 + y = -4

-2 + 2 + y = -4 + 2

y = -4 + 2

y = -2

Therefore, x = -1 and y = -2 is the solution of the system of equations 2x + y = -4 and 5x – 3y = 1