2. - 4x + 9y = 14 12x – 10y = -8 ; multiplication
2 answers:
Answer:
-4x + 9y = 14 answer is x =
12x - 10y = -8 answer is x =
Step-by-step explanation:
solve for x
-4x + 9y = 14
add -9y to both sides
-4x + 9y + -9y = 14 + -9y
-4x = -9y + 14
divide both sides by -4
-4x/-4 = -9y + 14/-4
Anwser
x =
solve for x
12x - 10y = -8
add 10y to both sides
12x - 10y + 10y = -8 + 10y
12x = 10y -8
Divide both sides by 12
12x/12 = 10y - 8/12
Anwser
x =
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In this attached picture, we can prove that triangles AOB and COD are congruent. ∠CDO and ∠ABO are equal because they are alternate angles. Similarly, ∠OAB and ∠OCD are equal because they are alternate angles, as well. We have a rectangle and in the rectangle, opposite sides are equal; AB = CD. Then, because of Angle-SIde-Angle principle, we can say that triangles AOB and COD are equal. If triangles are congruent, then OD = OB and OC = AO. Applying congruency to the triangles ACD and BCD, we can see that these triangles are also congruent. It means that the diagonals are equal. Since, OD = OB and OC = AO, it proves that the point O simultaneously is the midpoint and intersection point for the diagonals.
