y + (2x -12) = 180 (since they are supplementary angles)
(2x-12) = 96 ( since they are alternate exterior angle)
2x = 96 + 12
2x = 108
x = 108/2
x = 54.
y+( 2x-12)=180
y+(2× 54 -12) = 180
y + (108-12) = 180
y + 96 = 180
y= 180-96
y = 84.
Answer: it has no solutions
Step-by-step explanation:
Factor then solve to find the complex solutions.
Answer:
x=2
y=3
Step-by-step explanation:
x/2+y/3=2 so
3x/6+2y/6=12/6
then multiply by 6
<em>3x+2y=12</em>
equation number 2
x/3+y/2=13/6
2x/6+3y/6=13/6
multiply by 6
<em>2x+3y=13</em>
so the system is now
<em>3x+2y=12</em>
<em>2x+3y=13</em>
<em>from the first equation 2y=12-3x, y=6 - 3x/2</em>
<em>then put y in the second equation</em>
<em>2x+3*(6-3x/2)=13</em>
<em>2x+18-9x/2=13</em>
<em>2x-9x/2=13-18</em>
<em>4x/2-9x/2=-5</em>
<em>-5x/2=-5</em>
<em>*(-1/5) *(-1/5)</em>
<em>x/2=1</em>
<em>*2 *2</em>
<em>x=2</em>
<em>so y=6-3*2/2=6-3</em>
<em>y=3</em>
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