Find the simultaneous equation x-2y=1,y^2-3xy+8=0
1 answer:
Answer:
(-2.2, -1.6), (3, 1)
Step-by-step explanation:
You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.
Use the first equation to write an expression for x, then substitute that into the second equation:
x = 2y +1
y^2 -3(2y+1)(y) +8 = 0
-5y^2 -3y +8 = 0
-(5y +8)(y -1) = 0
y = -8/5 or y = 1
The corresponding values of x are ...
x = 2(-8/5)+1 = -11/5
x = 2(1) +1 = 3
The solutions are (x, y) = (-2.2, -1.6) and (3, 1).
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Answer:
1 1/8 or 9/8
Step-by-step explanation:
Set up a proportion. The proportion will be teaspoons of chili powder over pound of vegetables.
The first proportion will be..
x is 3/4 and y is 1/2. Across from that proportion make another one
x is "n" because you're trying to figure out how much chili powder you need. y is 1 3/4.
Multiply 3/4 and 1 3/4, which is 9/16. Then, divide 9/16 and 1/2, which is 9/8. Simplify it to 1 1/8, and Maxwell will need 1 1/8 teaspoons of chili powder.
Hope this wasn't too confusing :)