4x + 3y = 16
7x+6y= 31
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a. (1,4)
b. (1,3)
c. (4,3)
d. (4,0)

A

Step-by-step explanation:

A

Step-by-step explanation:

Given the 2 equations

4x + 3y = 16 → (1)

7x + 6y = 31 → (2)

Multiplying (1) by - 2 and adding to (2) eliminates 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 into either (1) or (2)

Substituting in (1), then

(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 ) → A