Can you PLEASE help me!!!!THANKS?

Question

Triangle NQP is equilateral with the measure of angle N=7x-y and the measure of angle P=x+y. Find the values of x and y.

Answer 1

Since this is an equilateral triangle, the angles are all 60 degrees. So you know
7x-y=60 and x+y=60

Now there are many ways you can get the solutions of two equations and two unknowns. I like to substitute.

Solve for one variable.

x+y = 60
x = 60-y

Now take the 60-y and substitute that in for x in the other equation.

7x-y=60
7(60-y) -y=60
420-7y-y = 60
420-8y = 60
-8y=60-420
-8y = -360
y = -360/-8
y=45

Now substitute that back into either equation for y.
x+y=60
x+45=60
So x=15

Answer 2

Equilateral triangles have angles all equal to 60 degrees, so
7x - y = 60
x + y = 60
adding
8x = 120
x = 15
y = 45

Answer 3

each interior angle of an equilateral is equal to 60 degrees

7x - y = 60
x + y = 60


add the two equations up
8x = 120
x = 15

15 + y = 60
y =45

Answer 4

Since its an equilateral angle , therefore angle N=angleQ=angleP=60 deg. Also Angle(N+Q+P)=180 deg

so by above we get 7x-y+Q+x+y=180
8x+Q=180 , Q=180-8x, now as Q=60deg , we get x= 15, therefore N= 7*15-y =60deg
we get y =45 deg .

Answer 5

x+y = 60
7x-y=60
8x=120
x = 15
y = 60-x = 45