solve the given pair of equation using substitution method
x+y =5 and x-y=1
Answers
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Answer:
X=1/3,y=2/3
Step-by-step explanation:
x
Consider the first equation. Subtract 5x from both sides.
Combine and -5x to get -4x.Add y to both sides.Combine y and y to get 2y.To solve a pair of equations using substitution, firt solve oneof the equations for one of the variables. Then substitute the result for that variable in the other equation.Choose one of the equations and solve it for x y isolating x on the left hand side of the equal sign.Subtract 2y from both sides of the equation.Divide both sides by -4.
Multiply -1/4 timother equation, 5x-y=1.Multiply 5 times \frac{y}{es -2y.Substitute y/2 for x in theDivide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.Multiply \frac{1}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator. Then reduce the fraction to lowest terms if possible.
The system is now solved.
X=1/3,y=2/3