Question
The system of equations above has solution (x, y). What is the value of x ?
The correct answer is: x is 21/8
Solution:-
- We have given two equations
(2x + y) = --------(1)
y = 2x --------(2)
- We can solve this by Substitution method, Substitute value of y from equation 2 in equation 1
2x + 2x =
- Further solving we get
4x =
- Divide both sides by 4 we gwt,
x =
- Substituting value of x in equation 2 we get,
y = 21 × =
- Therefore
x=
y=
- Therefore value of x is .
Related Questions to study
In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?
In State X, Mr. Camp’s eighth-grade class consisting of 26 students was surveyed and 34.6 percent of the students reported that they had at least two siblings. The average eighth‑grade class size in the state is 26. If the students in Mr. Camp’s class are representative of students in the state’s eighth-grade classes and there are 1,800 eighth-grade classes in the state, which of the following best estimates the number of eighth‑grade students in the state who have fewer than two siblings?
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2(p + 1) + 8(p - 1) = 5p
What value of p is the solution of the equation above?
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What value of p is the solution of the equation above?
In the equation above, if a is negative and b is positive, which of the following must be true?
In the equation above, if a is negative and b is positive, which of the following must be true?
In the equation above, k is a constant. If x = 9, what is the value of K ?
In the equation above, k is a constant. If x = 9, what is the value of K ?
What value of x satisfies the equation above?
Note:
Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied
What value of x satisfies the equation above?
Note:
Whenever we encounter a square root while solving an equation, our first attempt should be to somehow remove the square root by squaring both sides and get a simpler equation to solve. Another way to find the value of x which satisfies the equation would be to simply put the values in the options in the equation and check if it is satisfied