Solve by Substitution 15x-10y=-1 , 15y=-1+10x

Math
,
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 .
Simplify each term.
Tap for more steps…
Move the negative in front of the fraction.
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.
Replace all occurrences of with in each equation.
Tap for more steps…
Replace all occurrences of in with .
Simplify .
Tap for more steps…
Simplify each term.
Tap for more steps…
Apply the distributive property.
Cancel the common factor of .
Tap for more steps…
Move the leading negative in into the numerator.
Factor out of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Combine and .
Multiply by .
Multiply .
Tap for more steps…
Combine and .
Multiply by .
Move the negative in front of the fraction.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Multiply by .
Subtract from .
Solve for in the first equation.
Tap for more steps…
Multiply both sides of the equation by .
Simplify.
Tap for more steps…
Cancel the common factor of .
Tap for more steps…
Cancel the common factor.
Rewrite the expression.
Multiply by .
Solve for .
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.
Subtract from .
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 .
Simplify .
Tap for more steps…
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.
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 .
Simplify .
Tap for more steps…
Simplify each term.
Tap for more steps…
Simplify the numerator.
Tap for more steps…
Multiply by .
Combine and .
Move the negative in front of the fraction.
Multiply the numerator by the reciprocal of the denominator.
Multiply .
Tap for more steps…
Multiply and .
Multiply by .
Simplify terms.
Tap for more steps…
Combine the numerators over the common denominator.
Subtract from .
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.
Move the negative in front of the fraction.
The solution to the system is the complete set of ordered pairs that are valid solutions.
The result can be shown in multiple forms.
Point Form:
Equation Form:
Solve by Substitution 15x-10y=-1 , 15y=-1+10x
Scroll to top