SOLUTION: What is the y–value of the point at which the lines y = 2x + 6 and y = 1/2x – 6 intersect each other? –10 –8 –6 6 10

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: What is the y–value of the point at which the lines y = 2x + 6 and y = 1/2x – 6 intersect each other? –10 –8 –6 6 10       Log On


   



Question 955625: What is the y–value of the point at which the lines y = 2x + 6 and y = 1/2x – 6 intersect each other?
–10
–8
–6
6
10

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

the lines y+=+2x+%2B+6 and y+=+%281%2F2%29x+-6 intersect each other where
+2x+%2B+6=%281%2F2%29x+-6...solve for x
+2%2A2x+%2B+2%2A6=2%281%2F2%29x+-2%2A6
+4x+%2B+12=x+-12
+4x+-x=+-12+-12
+3x=+-24
+x=+-24%2F3
+x=+-8
now, find the value of y
y+=+2%28-8%29+%2B+6=>y+=+-16%2B+6=>y+=+-10
and y+=+%281%2F2%29x+-6=> y+=+%281%2F2%29%28-8%29+-6=> y+=+-4+-6=> y+=+-10


so, your answer is:
the y–value of the point at which the lines y+=+2x+%2B+6+and y+=+%281%2F2%29x+%96+6 intersect each other is -10
+graph%28+600%2C+600%2C+-15%2C+15%2C+-15%2C+15%2C+2x+%2B+6%2C+%281%2F2%29%28x%29+-6%29+