Hi L;
Elimination means we have to eliminate the x or y initially, and then proceed to solve.
4x  y = 5
4x + 4y = 4
Let's note that 4x is in both equations.
Let's subtract the second equation from the first. We could do the first equation from the second. I randomly select the first arrangement...
4x  y = 5
(4x + 4y = 4)
05y=9
5y=9
y=9/5
We eliminated x and solved for y. Now, let solve for x by pluggingin y=9/5. I randomly select the first equation...
4x  y = 5
4x(9/5)=5
4x+(9/5)=5
Let's eliminate the fraction. Let's multiply both sides by 5...
5[4x+(9/5)]=(5)(5)
20x+9=25
20x=16
x=16/20
x=4/5
Let's verify with the second equation...
4x + 4y = 4
[4(4/5)]+[4(9/5)]=4
(16/5)(36/5)=4
5[(16/5)(36/5)]=(4)(5)
1636=20
20=20
It works!!!!
Dec 27

Vivian L.
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