All Common Core: 8th Grade Math Resources
Example Questions
Example Question #1 :How To Find The Solution For A System Of Equations
Solve the system forand.
The most simple method for solving systems of equations is to transform one of the equations so it allows for the canceling out of a variable. In this case, we can multiplybyto get.
Then, we can addto this equation to yield, so.
We can plug that value into either of the original equations; for example,.
So,as well.
Example Question #1 :How To Find The Solution For A System Of Equations
What is the solution to the following system of equations:
By solving one equation for, and replacingin the other equation with that expression, you generate an equation of only 1 variable which can be readily solved.
Example Question #1 :How To Find The Solution For A System Of Equations
解这个方程组for:
None of the other choices are correct.
Multiply the bottom equation by 5, then add to the top equation:
Example Question #2 :Solve Systems Of Two Linear Equations: Ccss.Math.Content.8.Ee.C.8b
解这个方程组for:
None of the other choices are correct.
Multiply the top equation by:
Now add:
Example Question #2 :How To Find The Solution For A System Of Equations
解这个方程组for:
None of the other choices are correct.
Multiply the top equation by:
Now add:
Example Question #3 :Solve Systems Of Two Linear Equations: Ccss.Math.Content.8.Ee.C.8b
Find the solution to the following system of equations.
To solve this system of equations, use substitution. First, convert the second equation to isolate.
Then, substituteinto the first equation for.
Combine terms and solve for.
Now that we know the value of, we can solve forusing our previous substitution equation.
Example Question #1 :How To Find The Solution For A System Of Equations
Find a solution for the following system of equations:
infinitely many solutions
no solution
no solution
When we add the two equations, theandvariables cancel leaving us with:
which means there is no solution for this system.
Example Question #12 :How To Find The Solution For A System Of Equations
Solve the set of equations:
Solve the first equation for:
Substitute into the second equation:
Multiply the entire equation by 2 to eliminate the fraction:
Using the value of, solve for:
Therefore, the solution is
Example Question #1 :Solve Systems Of Two Linear Equations: Ccss.Math.Content.8.Ee.C.8b
Solve the following system of equations:
Set the two equations equal to one another:
2x - 2 = 3x + 6
Solve for x:
x = -8
Plug this value of x into either equation to solve for y. We'll use the top equation, but either will work.
y = 2 * (-8) - 2
y = -18
Example Question #1 :Solve Systems Of Two Linear Equations: Ccss.Math.Content.8.Ee.C.8b
解这个方程组for:
None of the other choices are correct.
Multiply the bottom equation by, then add to the top equation:
Divide both sides by
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