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4x + 3y = 16

7x+6y=31
O A. (1,3)
B. (1.4)
C. (4,0)
OD. (4,3)
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1 Answer

2 votes

Answer:

B

Explanation:

Given the 2 equations

4x + 3y = 16 → (1)

7x + 6y = 31 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the term in y

- 8x - 6y = - 32 → (3)

Add (2) and (3) term by term

- x = - 1 ( multiply both sides by - 1 )

x = 1

Substitute x = 1 in either of the 2 equations and solve for y

Substituting in (1)

4(1) + 3y = 16

4 + 3y = 16 ( subtract 4 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Solution is (1, 4 ) → B

User Tony Allevato
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