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2 votes
Please help me find X and Y.

2x - 4y = 36
4x + 3y = -5

A: (-7, 4)
B: (7, -4)
C: (-4, 7)
D: (4, -7)​

2 Answers

2 votes

Answer:

D. (4, 7)

Explanation:

2x - 4y = 36

4x + 3y = -5

2(4) - 4(-7) = 36

4(4) + 3(-7) = -5

User Jered
by
8.3k points
6 votes

Answer: B: (7, -4)

Explanation:

To solve for x and y, we can use either substitution or elimination method. Here, we'll use the elimination method to solve for x and y:

2x - 4y = 36 (Equation 1)

4x + 3y = -5 (Equation 2)

To eliminate y, we can multiply Equation 1 by 3 and Equation 2 by 2, and then add the two resulting equations:

6(2x - 4y) = 6(36) (Multiplying Equation 1 by 3)

2(4x + 3y) = 2(-5) (Multiplying Equation 2 by 2)

Simplifying, we get:

12x - 24y = 216

8x + 6y = -10

Adding the two equations, we get:

20x = 206

Dividing both sides by 20, we get:

x = 10.3

Now, substituting x = 10.3 into Equation 1 or Equation 2, we can solve for y. Let's use Equation 1:

2x - 4y = 36

2(10.3) - 4y = 36

20.6 - 4y = 36

-4y = 15.4

y = -3.85

Therefore, the solution to the system of equations is (x,y) = (10.3,-3.85).

Rounded to the nearest integer, the solution is approximately (x,y) = (10,-4).

So, the answer is option B: (7, -4).

User ZhengCheng
by
7.7k points

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