Solving the equation
we get 
Step-by-step explanation:
We need to solve the equation
and find value of x
Solving:

So, solving the equation
we get 
Keywords: Solving Equations
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Answer:

Step-by-step explanation:
Let points D, E and F have coordinates
and 
1. Midpoint M of segment DF has coordinates

2. Midpoint N of segment EF has coordinates

3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.
Answer:
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Step-by-step explanation:
Substitute the first equation into the second equation. You will get:
4x - (2x - 5) = 7
Distribute the negative sign into the parenthesis:
4x - 2x + 5 = 7
Simplify
2x + 5 = 7
Subtract 5 on both sides
2x = 2
x = 1
Now, substitute x = 1 into the first equation:
y = 2(1) - 5
y = 2 - 5
y = -3
The solution to the system of equations is (1, -3).
Answer:
(x + 4)(x - 3)
Step-by-step explanation:
x^2 + x - 12 = 0
In order to factorise an equation, one must take into consideration the factors of the values in given equation.
In the factored form, the above equation becomes
(x + 4)(x- 3)
Factors of x^2 = x times x
Factors of -12 = +4 x -3
As shown in the factored form above