Question

X²–y²=9 equation 1and x+y=1(The solution set)

Answer 1

The solution set for the given equations is x=5 and y=-4.

Step-by-step explanation:

The given equations are:

Equation 1: X²–y²=9

Equation 2: x+y=1

To solve for the solution set, we can use substitution or elimination method. Lets solve using substitution method:

1. From equation 2, we can express y in terms of x: y = 1 - x
2. Substitute this value of y into equation 1: x² - (1 - x)² = 9
3. Simplify the equation and solve for x: x² - 1 + 2x - x² = 9 => 2x - 1 = 9 => 2x = 10 => x = 5
4. Substitute this value of x into equation 2 to find y: y = 1 - 5 => y = -4

Therefore, the solution set for the given equations is x=5 and y=-4.