Answer:
x=10
y=-3
Step-by-step explanation:
3x + 5y= 15...eqn. 1
2x + 4y= 8...eqn. 2
multiply eqn. 1 by 2 and eqn. 2 by 3
6x + 10y = 30...eqn. 3
<u>6x</u><u> </u><u>+</u><u> </u><u>12y</u><u> </u><u>=</u><u> </u><u>24...eqn. 4</u>
0 - 2y = 6
divide both sides by the coefficient of y which is -2
<u>- 2y</u> = <u>6</u>
- 2 -2
y= -3
Put y= -3 into eqn. 1
3x + 5(-3) = 15
3x - 15 = 15
3x =15 + 15
<u>3x</u> =<u> 30</u>
3 3
x = 10
Therefore X= 10 and Y= -3
I believe that x = 2 and y = -2
Answer:
The measure of angle E is:
m∠E = 80°
Step-by-step explanation:
Given
The triangle ΔDEF
It is stated that DE=EF and G is the midpoint of EF.
It means the midpoint G has converted the triangle into two equal right-angles triangles ΔDEG and ΔDFG with the right-angle at G.
Given
m∠GDE = 10°
As the right-angle triangle, ΔDEG lies at the right-angle G.
So, m∠DGE = 90°
as
m∠GDE = 10°
m∠DGE = 90°
m∠E = ?
We know that the sum of angles of a triangle is 180°.
m∠GDE + m∠DGE + m∠E = 180°
10° + 90° + m∠E = 180°
100 + m∠E = 180°
m∠E = 180° - 100
m∠E = 80°
Therefore,
The measure of angle E is: m∠E = 80°
Yes becuase constant rate will be 24/1
and when you keep subtracting 1 to the x value & and 24 to y value it will end with 0,0 meaning its proportion
