Question

Solve the equation by the elimination method..!!

Answer 1

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.

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