(2x + 3y = 12) x (-2)
(4x - 3y = 6) x 1
-4x - 6y = -24
4x - 3y = 6
You can cancel out the x values by adding the two equations together.
(-4x + 4x) + (-6y - 3y) = (-24 + 6)
-9y = -18
y = 2
Solve for x now...
4x - 3(2) = 6
4x - 6 = 6
4x = 12
x = 3
Check... (x = 3, y = 2)
2(3) + 3(2) = 12
6 + 6 = 12
12 = 12 <- this works!
4(3) - 3(2) = 6
12 - 6 = 6
6 = 6 <- this works!
The third on is correct because how it says in the statement, “of” implies multiplication in mathematics so you can technically do 4/5 x 1/6 since you are splitting amongst 6 friends , and your answer will be 4/30 .
The perimeter of an object is equal to its sides added up. Because this is a triangle, it will have 3 equal sides. Since the triangle has 3 equal sides, its perimeter will be equal to one of its side lengths * 3.
Because the perimeter will be equal to one of its side lengths * 3, x is equal to one of the triangle's side lengths.
Cross multiply
10/a = 15/30
10/a(a)(30) = 15/30(30)(a)
Simplify
1/a(a) = 1
15/30(30) = 15
10(30) = 15(a)
Simplify. Combine terms
300 = 15a
Isolate the a. Divide 15 from both sides
300/15 = 15a/15
a = 300/15
a = 20
A) a = 20 is your answer
hope this helps
Your answer should be b. :)
Have a awesome day!!!!
