If you mean: y^2 + x^2 = 65 and y + x = 7 then the solutions are as follows:- When y = -1 then x = 8 When y = 8 then x = -1
x=5 y=-3
X + y = 8 x - y = 6 add equations to eliminate y 2x = 14 x = 7 substitute 7 + y = 8 y = 1
If you mean: x+7y = 7 and 2x+y = 8 Then by substitution: x = 49/13 and y = 6/13
Add the two equations: x + y - x + 2y = 8 + 7 ie 3y = 15 so y = 5 making x = 3.
If you mean: y^2 + x^2 = 65 and y + x = 7 then the solutions are as follows:- When y = -1 then x = 8 When y = 8 then x = -1
x = 11/7 and y = 12/7
x=1 y=7
x=5 y=-3
x = 3 and y = 5
X + y = 8 x - y = 6 add equations to eliminate y 2x = 14 x = 7 substitute 7 + y = 8 y = 1
x + 7 + y
If you mean: x+7y = 7 and 2x+y = 8 Then by substitution: x = 49/13 and y = 6/13
Add the two equations: x + y - x + 2y = 8 + 7 ie 3y = 15 so y = 5 making x = 3.
(3, 5)
short answer -1 and -7 long worked answer let x = one of the integers let y = the other integer x+y = -8 xy = 7 solve for y y = -8 - x plug y in x(-8 - x) = 7 rearrange -x^2 - 8x - 7 = 0 divide both sides by -1 x^2 + 8x + 7 = 0 factor (x + 7)(x + 1) = 0 x = -1, -7 y = -8 - x so y = -8 + 1 = -7 or -8 + 7 = -1 so when x = -1, y = -7 when x = -7, y = -1
Rearrange the first equation: x=8-2y. Plug in this value of x into the second equation: 2(8-2y)+y=7. Simplify: 16-4y+y=7. -3y=-9. y=3. Plug this value of y into the first equation: x+2(3)=8. Solve for x: x=8-6. x=2. The answer is {2,3)