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| PAGE: 275 | SET: Exercises | PROBLEM: 1 |
The equations are
Equation (1)
Equation (2)
Multiply the first equation by 4.
(Distributive property: 
)
(Multiply: 
)
(Multiply: 
)
Equation (3)
Since the coefficients of the y-terms are additive inverses, y-terms can be
eliminated by adding the equations 2 and 3.
Write the equations in column form and add the corresponding columns.
Apply division property of equality: if a = b then 
(Divide each side by negative 3)
(Cancel commen terms)
(Divide: 
)
Now Substitute 
in either equation to find the value of y.
(Equation 1)
(Multiply: 
)
(Subtract 4 from each side)
(Apply commutative proparty: a+b=b+a)
(Apply additive inverse proparty: 
)
(Apply additive identity proparty: 
)
(Subtract: 
)
(Multiply each side by negative one)
(Product of two same signs is positive)
(Product of two different signs is negative)
The solution is ,
.
The solution is 
.
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