41 + 2y = 0
- 4x – 9y= - 28
Solve each system by elimination

Question:

4x + 2y = 0

- 4x – 9y= - 28

Solve each system by elimination

The solution is x = -2 and y = 4

Solution:

Given system of equations are:

4x + 2y = 0   eqn 1

-4x – 9y = - 28   eqn 2

We have to solve the system of equations by elimination method

Add eqn 1 and eqn 2

4x + 2y -4x -9y = 0 - 28

0 + 2y - 9y = -28

-7y = -28

Divide both sides by -7

y = 4

Substitute y = 4 in eqn 1

4x + 2(4) = 0

4x + 8 = 0

4x = -8

Divide both sides by 4

x = -2

Thus the solution is x = -2 and y = 4

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: