Solve by Substitution x+5z=-6+x , 3x+3y=10+z , x+3y+2z=5

Math
, ,
Move all terms in to the left side and simplify.
Tap for more steps…
Move all the expressions to the left side of the equation.
Tap for more steps…
Move to the left side of the equation by adding it to both sides.
Move to the left side of the equation by subtracting it from both sides.
Combine the opposite terms in .
Tap for more steps…
Subtract from .
Add and .
Solve for in the first equation.
Tap for more steps…
Subtract from both sides of the equation.
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.
Replace all occurrences of with in each equation.
Tap for more steps…
Replace all occurrences of in with .
Replace all occurrences of in with .
Simplify.
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.
Remove parentheses.
Simplify .
Tap for more steps…
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 .
Subtract from .
Move all terms not containing to the right side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
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 .
Replace all occurrences of in with .
Simplify .
Tap for more steps…
Simplify each term.
Tap for more steps…
Apply the distributive property.
Multiply by .
Multiply .
Tap for more steps…
Combine and .
Multiply by .
Add and .
Solve for in the third equation.
Tap for more steps…
Move all terms not containing to the right side of the equation.
Tap for more steps…
Subtract from both sides of the equation.
Combine the numerators over the common denominator.
Subtract from .
Move the negative in front of the fraction.
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 by .
Multiply by .
Multiply and .
Multiply by .
Replace all occurrences of in with .
Simplify .
Tap for more steps…
Simplify each term.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps…
Multiply and .
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps…
Multiply by .
Add and .
The solution to the system of equations can be represented as a point.
The result can be shown in multiple forms.
Point Form:
Equation Form:
Solve by Substitution x+5z=-6+x , 3x+3y=10+z , x+3y+2z=5

Do you need help with your Math Task

We can help to solve your math questions

Our Math Experts

They can help to solve your math problems

Scroll to top