after state how many solutions there are and give a reason

please explain

thanks

please explain

thanks

after state how many solutions there are and give a reason

please explain

thanks

please explain

thanks

Tutors, please sign in to answer this question.

Middletown, CT

Hi Angelica;

7x-3y=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.

7x-3y=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)

14x-6y=8

SUBSTITUTION

7x-3y=4 and 14x-6y=8

Let's take the first equation...

7x-3y=4

Let's multiply both sides by 2...

(2)(7x-3y)=(4)(2)

14x-6y=8

It is identical to the second equation.

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