Answer:
4x-3
Step-by-step explanation:
Multiply the minus sign to lose the brackets
7x-5-3x+2
combine like terms
7x-3x-5+2
Simplify
4x-3 Answer
Hope this helps!
Answer:
k = 5 and (6,2).
Step-by-step explanation:
Since (1,-1) is a solution of the equation 3x - ky = 8, so the point (1,-1) will satisfy the equation above.
Hence, putting x = 1 and y = -1 in the equation will give left-hand side = right-hand side.
So, 3(1) - k(-1) = 8
⇒ 3 + k = 8
⇒ k = 5 (Answer)
Therefore, the equation of the straight line is 3x - 5y = 8 ....... (1)
Now, putting x = 6 , then from equation (1) we get y = 2
Therefore, (6,2) is also a point on the graph of equation (1). (Answer)
Answer:
No, she is not correct
Step-by-step explanation:
Given: Alana claims that not all 4-sided polygons with 2 pairs of equal sides are parallelograms
To check: whether she is correct or not.
Solution:
Any two-dimensional figure formed using straight lines is known as a polygon. Triangles, quadrilaterals are examples of polygons.
A parallelogram is a quadrilateral in which opposite sides are parallel.
Kite is a polygon made up of four sides with two pairs of equal sides that are adjacent to each other but it is not a parallelogram as its opposite sides are not parallel.
So, she is not correct.
You can start by subtracting different equations from each other.
3x + 2y + 3z = 1
subtract
3x + 2y + z = 7
2z = -6
divide by 2
z = -3
add the following two expressions together:
3x + 2y + z = 7
3x + 2y + 3z =1
6x + 4y + 4z = 8
subtract the following two expressions:
6x + 4y + 4z = 8
5x + 5y + 4z = 3
x - y = 5
^multiply the whole equation above by 3
3x - 3y = 15
subtract the following two expressions:
3x - 3y = 15
3x + 2y = 10
-5y = 5
divide each side by -5
y=-1
take the following expression from earlier:
x - y = 5
substitute y value into above equation
x - - 1 = 5
2 negatives make a positive
x + 1 = 5
subtract 1 from each side
x = 4
Therefore x = 4, y = -1, z = -3
I checked these with all 3 equations and they worked :)
(it's quite complicated, comment if you don't understand anything) :)
The first working out is correct, z = 3
