To be able to solve equations 3 and 4 by elimination, each equation needs to be multiplied by something, Drag a red number to th
1 answer:
The solution to the equation 3 and 4 by elimination is x = -2 and y = -2
<h3>Simultaneous equation</h3>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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