Answer:
To solve the system of equations:
21x - 11y = -9 (Equation 1)
-14x + 8y = 4 (Equation 2)
We can use the method of elimination or substitution. Let's use the method of elimination:
1. Multiply Equation 1 by 8 and Equation 2 by 11 to make the coefficients of y in both equations opposites:
Equation 1: 168x - 88y = -72 (Equation 3)
Equation 2: -154x + 88y = 44 (Equation 4)
2. Add Equation 3 and Equation 4 to eliminate y:
(168x - 88y) + (-154x + 88y) = -72 + 44
168x - 154x - 88y + 88y = -28
14x = -28
3. Solve for x:
Divide both sides by 14:
x = -28/14
x = -2
4. Substitute the value of x back into either Equation 1 or Equation 2 to solve for y. Let's use Equation 1:
21(-2) - 11y = -9
-42 - 11y = -9
-11y = -9 + 42
-11y = 33
5. Solve for y:
Divide both sides by -11:
y = 33/-11
y = -3
Therefore, the solution to the system of equations is x = -2 and y = -3.
In summary, the solution to the system of equations is x = -2 and y = -3.
Explanation: