Question

Solve for x in the following equation: x-y-3=A

Answer 1

To solve the given equations simultaneously, rewrite the equations in standard form. Solve for X in terms of Y from the first equation and substitute this value into the second equation. Simplify and solve the resulting quadratic equation to find the values of Y. Substitute these values into the first equation to find the corresponding values of X.

Step-by-step explanation:

To solve the given equations simultaneously:

1. Rewrite the equations in standard form: X - Y = 3 and X^2 + Y^2 = 29.
2. From the first equation, solve for X in terms of Y: X = Y + 3.
3. Substitute this value of X into the second equation: (Y + 3)^2 + Y^2 = 29.
4. Expand and simplify the equation: 2Y^2 + 6Y - 20 = 0.
5. Factor the quadratic equation: 2(Y + 5)(Y - 2) = 0.
6. Solve for Y: Y = -5 or Y = 2.
7. Substitute these values of Y into the first equation to find X: If Y = -5, then X = -2 and if Y = 2, then X = 5.

Therefore, the solutions to the system of equations are (-2, -5) and (5, 2).

the complete Question is given below:

Solve the following equation simultaneously

X-Y=3

X^2+Y^2=29