Answer:
4x+20=
6x-10
Step-by-step explanation:
Simplifying: 4x + 20 = 6x + -10
Reorder the terms: 20 + 4x = 6x + -10
Reorder the terms: 20 + 4x = -10 + 6x
Solving: 20 + 4x = -10 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation: 20 + 4x + -6x = -10 + 6x + -6x
Combine like terms: 4x + -6x = -2x: 20 + -2x = -10 + 6x + -6x
Combine like terms: 6x + -6x = 0: 20 + -2x = -10 + 0: 20 + -2x = -10
Add '-20' to each side of the equation: 20 + -20 + -2x = -10 + -20
Combine like terms: 20 + -20 = 0: 0 + -2x = -10 + -20: -2x = -10 + -20
Combine like terms: -10 + -20 = -30: -2x = -30
Divide each side by '-2': x = 15
Simplifying: x = 15
Perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.
As given in the question,
Coordinates of vertices K(-2,1) and M(10,6)
KM = 
= 
= 13units
In equilateral triangle KL = LM = KM = 13 units
Perimeter of equilateral triangle KLM = 13 +13 +13
= 39 units
Therefore, perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.
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Answer:
The first option is the correct answer
Step-by-step explanation:
Answer:
x = -4 , y = 3
Step-by-step explanation:
5x - 7y = -41 ... (i)
-3x - 5y = -3 ... (ii)
Multiplying (i) by -3 and (ii) by 5 ;
-15x + 21y = 123 ... (i)
-15x - 25y = -15 ... (ii)
Subtracting (i) by (ii) ;
0 + 46y = 138
46y = 138
y = 138 ÷ 46 = 3
Returning to equation (ii) ;
-3x - 5(3) = -3
-3x = -3 + 15
-3x = 12
x = -4
