Write equations for three lines that intersect to form a triangle
1 answer:
1.
Any 3 lines a, b and c intersect and form triangles, in no 2 of them are parallel.
2.
2 lines are parallel only if their slopes are equal.
3.
if the equation of a line l is given in the form y=mx+t, then m, the coefficient of x, is the slope of that line.
4.
so given lines a, b, c with equations:
if
, then the lines intersect, forming thus a triangle.
5.
let the 3 lines be:
Any 3 lines a, b and c intersect and form triangles, in no 2 of them are parallel.
2.
2 lines are parallel only if their slopes are equal.
3.
if the equation of a line l is given in the form y=mx+t, then m, the coefficient of x, is the slope of that line.
4.
so given lines a, b, c with equations:
if
5.
let the 3 lines be:
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Answer:
senior tickets sold: 12
child tickets sold:8
Step-by-step explanation:
Let
x= amount of senior tickets sold
y= amount of child tickets sold
For the first equation, it should look like:
200=14x+4y
For the second equation, it should look like:
92=7x+y
So this is a systems of equations problem. So I will use substitution as it is easier:
1.) Take one of the equations (in this case ill take 92=7x+y) and make one variable have a value, in this case ill isolate the y.
2.) Take the value of y and plug it into "y" into the other equation to solve "x"
<u><em>(editor's note:instead of dividing it by 14, I multiply by 1/14 as it would look complicated in the equation solving steps)</em></u>
3.) Then plug the value of "x" to one of the equations to solve for "y" (which I'll use the 92=7x+y)