Question

Which of the following is a solution to the equation:

-4x + 8y = 4
x = -3, y = -2
O x = 2, y = 3
O x = 2, y = 2
O x = 3, y = 2 soemone tell me which one-

Answer 1

It's the last one where x=3 and y=2

Step-by-step explanation:

Replace x and y with 3 and 2. It then becomes

-4(3) + 8(2) = 4

Solve. -4 × 3 is -12 since a positive times a negative equals a negative. 8 × 2 is 16. Bring down the 4.

-12 + 16 = 4

When solving something like this and you don't know what to do or how to solve it, you can subtract the smaller number from the larger number and then whether the sum is a negative or positive depends on the largest number. So here, 16 is the largest, so the sum will be positive. And 16-12 is 4, so the final answer is positive 4. You can also look at a number line and start from -12 and then add 16 and see which number you end at after adding 16.