Question

X+y=5
x^2-y^2=10

evaluate ​

Answer 1

(x, y) = (3.5, 1.5)

Explanation:

You want the solution to the system of equations ...

• x +y = 5
• x² -y² = 10

Substitution

Using the first equation, we can write an expression for y:

y = 5 -x

Using that in the second equation, we have ...

x² -(5 -x)² = 10

x² -(25 -10x +x²) = 10 . . . expand the binomial square

10x = 35 . . . . . . . . . . . . . add 25

x = 3.5

y = 5 -3.5 = 1.5

The solution to the system is (x, y) = (3.5, 1.5).

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