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McGraw Hill Glencoe Algebra 2, 2012

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McGraw Hill Glencoe Algebra 2, 2012 View details

Study Guide and Review

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Exercise 18 Page 207

If either of the variable terms would cancel out the corresponding variable term in the other equation, you can use the Elimination Method to solve the system.

(5.25,-1.75)

Practice makes perfect

Since y-terms in our equations have opposite coefficients we will use the Elimination Method to solve this system. x + y=3.5 & (I) x - y=7 & (II)We can see that the y-terms will eliminate each other if we add (I) to (II).

x+y=3.5 x-y=7

(II): Add (I)

x+y=3.5 x-y+ x+y=7+ 3.5

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(II):Solve for x

(II): Add terms

x+y=3.5 2x=10.5

(II): .LHS /2.=.RHS /2.

x+y=3.5 x=5.25

Now we can solve for y by substituting the value of x into Equation (I) and simplifying.

x+y=3.5 x=5.25

(I): x= 5.25

5.25+y=3.5 x=5.25

(I): LHS-5.25=RHS-5.25

y=-1.75 x=5.25

The solution, or intersection point, of the system of equations is (5.25,-1.75).

Subchapter links

Exercises p.206-210