In an equilateral triangle ABC, AB = 6 cm, BC = y+2 cm, AC = 2x cm Then, the values of x and y is
Answers
Answer:
x=3 y=4 follow me
Step-by-step explanation:
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Answer:
The value of x is 7 and the value of y is 1.
Step-by-step explanation:
Given information: In an equilateral triangle ABC, AB= (3X + 1 ) cm, BC=(2x + 3y + 5)cm, and AC= ( x+9y+6)cm.
We need to find the value of x is y.
All sides of an equilateral triangle are congruent.
AB=BCAB=BC
3x+1=2x+3y+53x+1=2x+3y+5
x-3y=4x−3y=4 .... (1)
AB=ACAB=AC
3x+1=x+9y+63x+1=x+9y+6
2x-9y=52x−9y=5 .... (2)
Multiply equation (1) by 3 and subtract from equation (2).
2x-9y-3(x-3y)=5-3(4)2x−9y−3(x−3y)=5−3(4)
2x-9y-3x+9y=5-122x−9y−3x+9y=5−12
-x=-7−x=−7
x=7x=7
Substitute x=7 in equation (1).
(7)-3y=4(7)−3y=4
-3y=4-7−3y=4−7
-3y=-3−3y=−3
y=1y=1
Therefore, the value of x is 7 and the value of y is 1.
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X+5y=7 and 2x+y=6 solved the equation.
(hope it helps uuuuuuuuu)