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Sagot :
Answer:
(2/17, 4/17)
Step-by-step explanation:
y = 2x ---(1)
x = 9y-2 ---(2)
We have a simultaneous equation, to solve it we can use the substitution method:
What is substitution?
One might ask what's substitution, well simply put it's a way of substituting values from one equation to another.
E.g x = 1 then y = 2x when solving since we know x = 1 the value for y would be 2 * 1 = 2
Solving
Substituting eqn(1) into eqn(2)
Note: eqn means equation (we're all clear now)
x = 9(2x) - 2
x = 18x - 2
18x - x = 2
17x = 2
x = 2/17
Nextly, finding the value of y since we know the value of x we can substitute that into eqn(1)
→ y = 2(2/17)
y = 4/17
Therefore, the answer in the format (x,y)
- (2/17, 4/17)
The solution is (x, y) = (2/17, 4/17).
Express one variable in terms of the other:
Since we already have x solved for in the second equation:
x = 9y - 2
- Substitute this expression for x in the first equation:
y = 2(9y - 2) (Substitute x with 9y-2)
- Solve for y:
Expand the bracket:
y = 18y - 4
- Combine like terms:
17y - 4 = 0
- Add 4 to both sides:
17y = 4
- Divide both sides by 17:
y = 4/17
- Solve for x using the value of y:
Now that we know y = 4/17, substitute this value back into the equation where x is already solved for:
x = 9(4/17) - 2
- Simplify:
x = 36/17 - 2
- Find a common denominator:
x = 36/17 - 34/17
- Combine like terms:
x = 2/17.
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