What is the solution of the system? Use elimination. 5x-6y=-32 3x+6y=48

Mathematics

2 answers:

vampirchik [111]2 years ago

7 0

Answer:

x=2 y=7

Step-by-step explanation:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

levacccp [35]2 years ago

4 0

Answer:

x = 2 ,

y = 7

Step-by-step explanation:

by adding the given equations we get,

5x + 3x - 6y + 6y = 48 - 32
8x = 16
x = 2

by putting value of x in one of the equation we get,

3x + 6y = 48
( 3×2 ) + 6y = 48
6 + 6y = 48
6y = 42
y = 7

i hope it helped 

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In circle O, BC=14 and DC=25. What is the length of diameter BA? -58.6 -12.2 -44.6 -30.6

Savatey [412]

The picture in the attached figure

we know that
If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment
so
DC²=BC*CA-----> CA=DC²/BC
DC=25
BC=14
CA=25²/14-----> CA=44.64
CA=BC+BA----> BA=CA-BC----> BA=44.64-14----> BA=30.64

BA is the diameter
hence
the length of diameter BA is 30.64----> round to the nearest tenth---> 30.6

the answer is
the length of diameter BA is 30.6