The solution is x = 2 and y = 4
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
y = 2x -------- eqn 1
x = -y + 6 ----------- eqn 2
We can solve the system of equations by substitution method
<em><u>Substitute eqn 1 in eqn 2</u></em>
x = -2x + 6
Move the variables to one side and constants to other side
x + 2x = 6
3x = 6
Divide both sides of equation by 3
x = 2
<em><u>Substitute x = 2 in eqn 1</u></em>
y = 2(2)
y = 4
Thus the solution is x = 2 and y = 4
B. Center: ( 5, -3) radius: 9
The answer to this is 65.
Remember that the angles opposite of each other equal to 180. So a+c=180 and b+d=180.
First, we solve for x. Since we know that b and d equal to 180, we subtract 148 from 180.
180-148=32. x=32.
Then we plug that in the expression for angle a.
2x+1 becomes 2(32)+1
2*32=64
64+1=65.
a=65
