Solve each system by substitution
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Solving each system by substitution
The solver will provide step-by-step instructions on how to Solve each system by substitution. Substitution is a method of solving equations that involves replacing one variable with an expression in terms of the other variables. For example, suppose we want to solve the equation x+y=5 for y. We can do this by substituting x=5-y into the equation and solving for y. This give us the equation 5-y+y=5, which simplifies to 5=5 and thus y=0. So, the solution to the original equation is x=5 and y=0. In general, substitution is a useful tool for solving equations that contain multiple variables. It can also be used to solve systems of linear equations. To use substitution to solve a system of equations, we simply substitute the value of one variable in terms of the other variables into all of the other equations in the system and solve for the remaining variable. For example, suppose we want to solve the system of equations x+2y=5 and 3x+6y=15 for x and y. We can do this by substituting x=5-2y into the second equation and solving for y. This gives us the equation 3(5-2y)+6y=15, which simplifies to 15-6y+6y=15 and thus y=3/4. So, the solution to the original system of equations is x=5-2(3/4)=11/4 and y=3/4. Substitution can be a helpful tool for solving equations and systems of linear equations. However, it is important to be careful when using substitution, as it can sometimes lead to incorrect results if not used properly.
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This gives us x=4. We can then check our work by plugging 4 in for x in the original equation. Doing so should give us a true statement: 4+3=7. Equations can be used to solve for a wide variety of values, from simple addition and subtraction problems to more complex operations like quadratic equations. No matter what type of equation you are solving, the process is always the same: find the value of the variable that will make the two sides of the equation equal.
However, more often than not, we need to solve a system of equations in order to find all of the unknown values. Fortunately, there are a variety of methods that we can use to solve systems of equations, including elimination and substitution. With a little practice, solving algebra problems can be easy and even fun!
Next, take your time and read the instructions carefully. If you are still having trouble understanding the material, try looking up key terms in a dictionary or doing additional research. Finally, don't be afraid to ask for help from a teacher or tutor. By following these tips, you can increase your chances of getting the answers you need.
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