Answer:
Two
Step-by-step explanation:
x² + 4 = 4x + 1
x² - 4x + 3 = 0
x² - 3x - x + 3 = 0
x(x - 3) - (x - 3) = 0
(x - 3)(x - 1) = 0
x = 1, 3
y = 4(1) + 1 = 5
y = 4(3) + 1 = 13
Two solutions: (1,5) (3,13)
Answer:
7
Step-by-step explanation:
that what i thank it is
Answer:
14.25
Step-by-step explanation:
95 x 0.85 = 80.75
95-80.75 = 14.25
Answer:
(a) Verified
(b) They are simultaneous equations
Step-by-step explanation:
Given


Required
Verify that:
is a solution
We have:

Substitute:

Evaluate all products

Subtract:

<em>Because both sides of the equation are equal, then the point is a solution</em>
<em></em>
Also: 
Substitute:

Evaluate all products

Subtract:

<em>Because both sides of the equation are equal, then the point is a solution</em>
<em></em>
<em></em>
Because the given point is a solution to both equations, then they are simultaneous equation
We are given that there are a total of 78 students. If we set the following variables:

Then, the sum of all of these must be 78, that is:

Since there are 15 in chemistry and physics and 47 in chemistry, we may replace that into the equation and we get:

Simplifying:

Now we solve for P by subtracting 62 on both sides:

Therefore, there are 16 students in physics