Solve by Addition/Elimination 4a+7b=-51 , 8a+3b=-20 , 6b+3c=18

Math
, ,
Choose two equations and eliminate one variable. In this case, eliminate .
Eliminate from the system.
Tap for more steps…
Multiply each equation by the value that makes the coefficients of opposite.
Simplify.
Tap for more steps…
Simplify .
Tap for more steps…
Apply the distributive property.
Multiply.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Add the two equations together to eliminate from the system.
The resultant equation has eliminated.
Take the resultant equation and the third original equation and eliminate another variable. In this case, eliminate .
Eliminate from the system.
Tap for more steps…
Multiply each equation by the value that makes the coefficients of opposite.
Simplify.
Tap for more steps…
Multiply by .
Multiply by .
Simplify .
Tap for more steps…
Apply the distributive property.
Multiply.
Tap for more steps…
Multiply by .
Multiply by .
Multiply by .
Add the two equations together to eliminate from the system.
The resultant equation has eliminated.
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Cancel the common factor of and .
Tap for more steps…
Factor out of .
Cancel the common factors.
Tap for more steps…
Factor out of .
Cancel the common factor.
Rewrite the expression.
Substitute the value of into an equation with eliminated already and solve for the remaining variable.
Tap for more steps…
Substitute the value of into an equation with eliminated already.
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Substitute the value of each known variable into one of the initial equations and solve for the last variable.
Tap for more steps…
Substitute the value of each known variable into one of the initial equations.
Solve for .
Tap for more steps…
Simplify each term.
Tap for more steps…
Multiply .
Tap for more steps…
Multiply by .
Combine and .
Multiply by .
Move the negative in front of the fraction.
Move all terms not containing to the right side of the equation.
Tap for more steps…
Add to both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Multiply by .
Add and .
Divide each term by and simplify.
Tap for more steps…
Divide each term in by .
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Divide by .
Multiply .
Tap for more steps…
Multiply and .
Multiply by .
This is the final solution to the system of equations.
Solve by Addition/Elimination 4a+7b=-51 , 8a+3b=-20 , 6b+3c=18

Download our
App from the store

Create a High Performed UI/UX Design from a Silicon Valley.

Scroll to top