Solve the system of equation 3x+4y=11 and x-2y= -3

(1, 2 )

Step-by-step explanation:

Given the 2 equations

3x + 4y = 11 → (1)

x - 2y = - 3 → (2)

Multiplying (2) by 2 and adding to (1) eliminates the term in y

2x - 4y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

5x = 5 ( divide both sides by 5 )

x = 1

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

Substituting into (1)

3(1) + 4y = 11

3 + 4y = 11 ( subtract 3 from both sides )

4y = 8 ( divide both sides by 4 )

y = 2

Solution is (1, 2 )

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