Question

Find x and y
2x - 3y = -13
4x + 2y = 6

Answer 1

To find x and y for the given system of equations, use the elimination method by first matching the x coefficients, then adding or subtracting the equations to solve for y, and finally substituting back to solve for x. The solution is x = 1 and y = 4.

Step-by-step explanation:

To find x and y given the system of equations:

• 2x - 3y = -13
• 4x + 2y = 6

We can use the method of substitution or elimination. In this case, let's use the elimination method.

1. Multiply the first equation by 2 to match the x coefficients in the second equation: 4x - 6y = -26.
2. Now subtract the first new equation from the second original equation: (4x + 2y) - (4x - 6y) = 6 - (-26).
3. This simplifies to 8y = 32.
4. Dividing both sides by 8 gives y = 4.
5. Next, substitute y back into one of the original equations to find x. Using the first equation: 2x - 3(4) = -13.
6. Solving for x gives x = 1.

So the solution is x = 1 and y = 4.