Solve 3x + 4y =10 and 2x – 2y = 2 by elimination method.
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x = 2 and y = 1
Explanation:
Given:
3x + 4y =10 ----- (1)
2x – 2y = 2 ----- (2)
Lets take equation 1 and 2 * equation 2 and add together.
3x + 4y =10 ----- (1)
4x – 4y = 4 ----- (2) * 2
Adding them, we get 7x = 14. Therefore x = 14 / 7 = 2.
Substituting x = 2 in equation 2, we get:
2(2) - 2y = 2
4-2 = 2y
2 = 2y
y = 1
Hence solved. The values are x = 2 and y = 1.
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