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rjkz [21]
3 years ago
5

Solve the equation by the elimination method..!!

Mathematics
1 answer:
kramer3 years ago
4 0

Step-by-step explanation:

given

3x + 4y = 10

as equation 1, and

2x - 2y = 2

as equation 2.

Now, multiply equation 2 by 2.

2x \times 2  - 2y \times 2 = 2 \times 2 \\ 4x - 4y = 4

now let's this equation be equation 3.

We now use equation 1 + equation 3 to eliminate y and find x.

3x + 4x  + 4y + ( - 4y) = 10 + 4 \\ 7x + 4y - 4y = 14 \\ 7x = 14 \\ x = 14 \div 2 \\  = 7

Now substitute x = 7 into equation 2.

2(7) - 2y = 2 \\ 14 - 2y = 2 \\  - 2y = 2 - 14 \\  - 2y =  - 12 \\ y =  - 12 \div  - 2 \\  = 6

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