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Solve each system using elimination 7x+5y=9 4x-3y=11

1 Answer

4 votes

Multiply the 1st row by 4

28x + 20y = 36

4x - 3y = 11

Multiply the 2nd row by 7

28x + 20y = 36

28x - 21y = 77

Subtract the 2nd row from the 1st row

41y = -41

Solve for y in the above equation

y = -1

Substitute y = -1 into any of the two equations above.

Let's pick the first equation; 28x + 20y = 36

28x + 20 × -1 = 36

Solve for x in the above equation ^

x = 2

Thus;

x = 2

y = -1

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