Find expert answers and community-driven knowledge on IDNLearn.com. Ask any question and receive accurate, in-depth responses from our dedicated team of experts.
Sagot :
Systems of equation that have the same solution are called equivalent systems.
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.
In contrast, we can be sure that two systems of equations are not equivalent if we know that a solution of the one is not a solution of the other.
Note: This idea of equivalent systems of equations pops up again in linear algebra. However, the examples and explanations in this article are geared to a high school algebra 1 class.
Example 1
We're given two systems of equations and asked if they're equivalent.
System A
−12x+9y=7
9x−12y=6
system B
−12x+9y=7
3x−4y=2
If we multiply the second equation in System B by 3, we get:
3x−4y=2
3(3x−4y)= 3(2)
9x−12y=6
Replacing the second equation of System B with this new equation, we get an equivalent system:
−12x+9y=7
9x−12y=6
Whoa! Look at that! This system is the same as System A, which means system A is equivalent to System B
To know more about Equations
visit-:https://brainly.com/question/10413253
SPJ9
We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. IDNLearn.com provides the best answers to your questions. Thank you for visiting, and come back soon for more helpful information.