Multiple choice

Solve the equation using substitution method: $4x-6y=-4$ and $8x-2y=48$

  1. 5.6 and 7.4

  2. -7.4 and 5.6

  3. 7.4 and 5.6

  4. 8.6 and 5.6
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

From 4x - 6y = -4, we get 2x - 3y = -2, so 2x = 3y - 2. Substitute into 8x - 2y = 48: 4(3y - 2) - 2y = 48 -> 12y - 8 - 2y = 48 -> 10y = 56 -> y = 5.6. Then 2x = 3(5.6) - 2 = 16.8 - 2 = 14.8, so x = 7.4.

AI explanation

Divide the first equation by 2 to get 2x - 3y = -2. Multiply this new equation by 4 to get 8x - 12y = -8. Subtract this from the second equation, 8x - 2y = 48, to eliminate x and find 10y = 56, which means y = 5.6. Substituting y = 5.6 into 2x - 3y = -2 gives 2x = 14.8, so x = 7.4. The solution is 7.4 and 5.6.

Keep practicing — related questions