Hi Angelica;
7x3y=4 and 14x+6y=8
LINEAR COMBINATION
This equations are linear combinations. Both equations have variables x and y with coefficients A and B.
Furthermore, the first equation is in standard format...
Ax+By=C, neither A nor B equal zero and A is greater than zero.
7x3y=4
However, the second equation is NOT in standard format in that A is less than zero...
14x+6y=8
Let's fix that by multiplying both sides by 1...
1(14x+6y)=(8)(1)
14x6y=8
SUBSTITUTION
7x3y=4 and 14x6y=8
Let's take the first equation...
7x3y=4
Let's multiply both sides by 2...
(2)(7x3y)=(4)(2)
14x6y=8
It is identical to the second equation.
ZERO SOLUTIONS ARE POSSIBLE BECAUSE BOTH EQUATIONS ARE IDENTICAL.
Feb 10

Vivian L.
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