Answer: it is a solution set
Step-by-step explanation:
The given system of simultaneous linear equations is expressed as
7x-3y=6 - - - - - - - - - -1
2x+y=11 - - - - - - - - - - - 2
We would eliminate x by multiplying equation 1 by 2 and equation 2 by 7. It becomes
14x - 6y = 12
14x + 7y = 77
Subtracting, it becomes
- 13y = - 65
Dividing the left hand side and the right hand side of the equation by - 13, it becomes
- 13y/13 = - 65/- 13
y = 5
Substituting x = 5 into equation 2, it becomes
2x + 5 = 11
Subtracting 5 from the left hand side and the right hand side of the equation, it becomes
2x + 5 - 5 = 11 - 5
2x = 6
Dividing the left hand side and the right hand side of the equation by 2, it becomes
x = 6/2 = 3
When you have
you can solve the equation by multiplying both sides by 1/4. Then simplify.
I’m pretty sure that the answer is D
The equation has one solution
Answer:
x = 6 and x = 11.
Step-by-step explanation:
sqrt(x - 2) + 8 = x
sqrt(x - 2) = x - 8
(sqrt(x - 2))^2 = (x - 8)^2
x - 2 = x^2 - 16x + 64
x^2 - 16x + 64 = x - 2
x^2 - 17x + 66 = 0
We can use the discriminant to find whether there are solutions to the equation.
b^2 - 4ac; where a = 1, b = -17, and c = 66.
(-17)^2 - 4 * 1 * 66
= 289 - 264
= 25
Since the discriminant is positive, we know there are two valid solutions to the equation.
x^2 - 17x + 66 = 0
(x - 6)(x - 11) = 0
The solutions are when x - 6 = 0 and x - 11 = 0.
x - 6 = 0
x = 6
x - 11 = 0
x = 11
Hope this helps!
