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x = 2, y = 4

Step-by-step explanation:

x + y = 5 ( multiply through by 4 to clear the fraction )

4x + 3y = 20 → (1)

x - y = 0 ( multiply through by 2 to clear the fraction )

2x - y = 0 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate y

6x - 3y = 0 → (3)

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

10x + 0 = 20

10x = 20 ( divide both sides by 10 )

x = 2

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

Substituting into (1)

4(2) + 3y = 20

8 + 3y = 20 ( subtract 8 from both sides )

3y = 12 ( divide both sides by 3 )

y = 4

Solution is x = 2, y = 4

18

step-by-step explanation: