What is the solution to the following system of equations?

4x + 2y = 6
x − y = 3

x = 2, y = -1

Step-by-step explanation:

4x + 2y = 6   eq 1

x − y = 3   eq 2

Using elimation method:

eq 2 x 2

2 (x − y)= 2(3 )

2x - 2y = 6 eq 3

eq 1 + eq 3

4x + 2y + 2x - 2y = 6 + 6

6x = 12

x = 2  (sub this back into eq 2)

x − y = 3

2 − y = 3

-y = 3 - 2

-y = 1

y = -1

answer: 40.95

step-by-step explanation:

1. 180°. the sum of the interior angles of a triangle is 180°, for the equilateral triangle that it has three equals side is 60°+60°+60°=180°.

2. 60°. each interior angle of a equilateral triangle is 60°

3. 120°. the measure of ∠m is 120°, the sum of the angles ∠m and ∠n is equal to 180°. so, in order to find the measure of ∠m, we have ∠m+∠n=180° > ∠m=180°-∠n > ∠m=180°-60°=120°.

4. 360°. the sum of the exterior angles of an equilateral triangle is ∠m+∠r+∠x=120°+120°+120°=360°. the exterior angles of any triangle always add 360°.