Given the system of equations:
To solve it by substitution, follow the steps below.
Step 1: Solve one linear equation for x in terms of y.
Let's choose the second equation. To solve it for x, add 3y to each side of the equations.
Step 2: Substitute the expression found for x in the first equation.
Step 3: Isolate y in the equation found in step 2.
To do it, first, add 48 to both sides.
Then, divide both sides by 15.
Step 4: Substitute y by 5 in the relation found in step 1 to find x.
Answer:
x = -9
y = 5
or (-9, 5)
Also, you can graph the lines by choosing two points from each equation, according to the picture below.
Answer:
x^2 - 12x = -27
Step-by-step explanation:
Here, we want to isolate the constant for the polynomial
To do this, we start by setting the expression to zero
Afterwards, we can bring the constant term over the equal to sign, giving a change in sign value
Mathematically, we have this as;
x^2 - 12x + 27 = 0
x^2 - 12x = -27
(13/59)(c/58)=117/1711
13c/3422=117/1711
13c=234
c=18
So there are 18 clubs instead of 13 meaning that there is an extra 5 clubs in the deck.
Since there were 59 cards, there was 7 extra cards in all. The 7 extra minus the 5 extra clubs leaves 2 extra spaces.
So there were two extra spades in the deck.
Answer:
vertex = (3,24) Axis of symmetry = 3
Step-by-step explanation:
Use the vertex formula to find x: x=-b/2(a)
x= 12/2(2) = 3 (this is your axis of symmetry)
Substitute 3 for x in the equation to get y: y = 42
Once you have both x and y you have your vertex.
