To solve this, you need to find “x” for each equation. If “x” is the same for both equations, then they are equivalent. If “x” is different (i.e., the equations have different roots), then the equations are not equivalent.
still, Which expression is equivalent to 36 a minus 27?
9(4a minus 3) is equivalent to 36a minus 27.
next, How do you tell if a system of equations has no solution or infinitely many?
If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.
then, What is the value that makes an equation true?
A solution is any value of a variable that makes the specified equation true. A solution set is the set of all variables that makes the equation true. …
Are two equations equal?
Two equations are said to be equivalent when they have the same solution set. For example, x + 2 = 6 and 2x = 8 are equivalent equations, because when we solve each of them as follows, they have the same solution set. Subtract 2 from both sides. … Therefore, the two equations are equivalent.
19 Related Questions Answers Found
Which expression is equivalent to 2x 4y 3?
The answer is D. 2^3 is 8.
What is an expression equivalent to?
Two expressions are equivalent if they have the same value no matter what the value of the variables in them.
Which expression is equivalent to 16 * 3?
That means 40 + 8 is also an expression that is equivalent to 16 x 3.
How do you know if two equations have no solution?
Solve the first equation. Solve the second equation. If we substitute these two solutions back to the original equation, the results are positive answers and can never be equal to negative one. The answer is no solution.
How do you tell if a system has no solution?
A system has no solution if the equations are inconsistent, they are contradictory. for example 2x+3y=10, 2x+3y=12 has no solution. is the rref form of the matrix for this system.
What is an example of no solution?
When a problem has no solution you’ll end up with a statement that’s false. For example: 0=1 This is false because we know zero can’t equal one. … We see this is a false statement because 20 does not equal 5. So, we say this problem has no solution.
What is an example of one solution?
9x – 8x = 37 + 35 + 9 = 80 which gives x = 80. Hence, the given linear equation has only one solution i.e. x = 80. From the above examples, we see that the variable x does not disappear after solving & we say that the linear equation will have one solution if it is satisfied by exactly one value of the variable.
How can you determine the number of solutions for an equation?
Determine whether a number is a solution to an equation.
How do you find three solutions of an equation?
To find three solutions to this equation, substitute three different numbers and calculate the result for y :
What’s an equivalent equation?
Equivalent equations are two equations set equal to each other so that the variable has the same value in each equation.
What does it mean if two equations are equivalent?
Two systems of equations are equivalent if they have the same solution(s). … Given a system of two equations, we can produce an equivalent system by replacing one equation by the sum of the two equations, or by replacing an equation by a multiple of itself.
How do you prove linear equations are equivalent?
Two systems of linear equations are equivalent if and only if they have the same set of solutions. In other words, two systems are equivalent if and only if every solution of one of them is also a solution of the other.
What is an equivalent expression with two terms?
Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
What expression is equivalent to 5a20?
An expression that is equivalent to 5a + 20 is: 5 ( a + 4 ). Since 5 times a equals 5a and 5 times 4 equals 20. Therefore, 5 (a + 4) is equivalent to 5a + 20.
Which expression is equivalent to sin7pi 6?
The answer choice is D because sin7pi/6 which it’s exact form is -1/2 the only answer choice which the same exact form is D. is in the third quadrant and equals 210 degrees.
What is an example of an equivalent expression?
Examples of Equivalent Expressions
3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18. and can also be written as 6(x2 + 2y + 1) = 6x2 + 12y + 6. In this lesson, we learn to identify equivalent expressions.
What is a equivalent equation?
Two systems of equations are equivalent if they have the same solution(s). This article reviews how to tell if two systems are equivalent. Systems of equations that have the same solution are called equivalent systems.
How do you know if 2 expressions are equivalent?
Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.
Which of the expressions is equal to 16?
Answer: Expression 6 is equal to 16.
What is 16 3 equal to as a fraction?
The fraction 32/6 is equal to 16/3 when reduced to lowest terms.
What is equivalent in fractions?
Two fractions are equivalent if they represent the same value. … In general, if you multiply the numerator and denominator of a fraction by the same (nonzero) number, you get a fraction equivalent to the one you started with.
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