Question

Solve the simultaneous equation. (4mks)
x2 + y2 = 26
x + y = 4
kindly show the steps

Answer 1

Answer:

Happy new year

.................................

I wish this year fulfill your wish and also this year full of happiness

Answer 2

Answer:

Hey❤️

Use the second equation to provide an expression for y in terms of x to substitute into the first equation to give a quadratic equation in

x..

Explanation:

First add x to both sides of the second equation to get:

y=x+3

Then substitute this expression for yinto the first equation to get:

29=x2+(x+3)2=2x2+6x+9

Subtract 29 from both ends to get:

0=2x2+6x−20

Divide both sides by 2 to get:

0=x2+3x−10=(x+5)(x−2)

So x=2 or x=−5

If x=2 then y=x+3=5

If x=−5 then y=x+3=−2

So the two solutions (x,y) are (2,5) and (−5,-2)