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To be able to solve equations 3 and 4 by elimination, each equation needs to be multiplied by something, Drag a red number to the red box for equation 3 and a brown number to the brown box for equation 4.​

Answer :

ADIOABIOLAIN

The solution to the equation 3 and 4 by elimination is x = -2 and y = -2

Simultaneous equation

2x = 3y + 2. (1)

3x = 5y + 4. (2)

  • Rewriting the equation

2x - 3y = 2. (3)

3x - 5y = 4 (4)

  • Multiply (3) by 3 and (4) by 2

6x - 9y = 6. (5)

6x - 10y = 8. (6)

  • subtract (5) from (6) to eliminate x

-10y - (-9y) = 8 - 6

-10y + 9y = 2

-y = 2

y = -2

  • substitute y = -2 into (3)

2x - 3y = 2. (3)

2x - 3(-2) = 2

2x + 6 = 2

2x = 2 - 6

2x = - 4

x = -4/2

x = -2

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