Algebra-2

To find the solution to the system of equations given:

x - 4y = -2

2x + 5y = 9

x + y + z = 5

we will solve the first two equations for (x) and (y), and then we will test the provided points to see which one satisfies all three equations.

 

Step 1: Solve the first two equations

From the first equation:

x - 4y = -2
x = 4y - 2

 

Substitute (x) into the second equation:

2(4y - 2) + 5y = 9

This simplifies to:

8y - 4 + 5y = 9

 

Combining like terms gives: