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2x + 3y = 7, x = 1 − 4y?

asked Mar 29, 2013 in ALGEBRA 2 by linda Scholar

1 Answer

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2x + 3y = 7    -(1)

x = 1 - 4y     -(2)

Substitute x = 1 - 4y in the first equation 2x + 3y = 7  

2(1 - 4y) + 3y = 7

Recall : Distributive property a(b - c) = ab - ac

2 - 8y + 3y = 7

2 - 5y = 7

Subtract 2 from each side

2 - 5y -2 = 7 - 2

0 - 5y = 5

-5y = 5

Divide each side by negitive 5

Simplify

-5y / -5 = 5 / -5

y = -1

Substitute y = -1 in the second equation x = 1 - 4y

There fore x = 1 - 4(-1)

x = 1 + 4

x = 5

The solution of an equations are x = 5 and y = -1.

answered Mar 29, 2013 by diane Scholar

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