Question

Use the elimination method 2x-9y=-8 5x+y=-20 100 POINTS

Answer 1

To solve using elimination, the equations 2x - 9y = -8 and 5x + y = -20 are manipulated to find a common coefficient for y, which allows the y terms to be eliminated. After doing so, the solution is found to be x = -4 and y = 0.

Step-by-step explanation:

To solve the system of linear equations 2x - 9y = -8 and 5x + y = -20 using the elimination method, follow these steps:

1. Multiply the second equation by 9 so that the coefficients of y become opposites:
2. Add this new equation to the first equation:
3. Divide both sides of the equation 47x = -188 by 47 to solve for x:
4. To find the value of y, substitute x = -4 into one of the original equations, for example, the second equation 5x + y = -20:

The solution to the system of equations is x = -4 and y = 0.