Solve the following equations for x and y.4x – 3y = 7, 3x + 2y = 18.3, 23, 44, 35, 3

Sure, let's solve the system of equations step by step.

The system of equations is:

1. 4x – 3y = 7
2. 3x + 2y = 18

Step 1: Multiply the first equation by 2 and the second equation by 3 to make the coefficients of y the same in both equations. This gives us:

8x - 6y = 14 9x + 6y = 54

Step 2: Add the two new equations together:

(8x - 6y) + (9x + 6y) = 14 + 54 17x = 68

Step 3: Solve for x by dividing both sides by 17:

x = 68 / 17 x = 4

Step 4: Substitute x = 4 into the first original equation:

4(4) - 3y = 7 16 - 3y = 7 -3y = 7 - 16 -3y = -9

Step 5: Solve for y by dividing both sides by -3:

y = -9 / -3 y = 3

So, the solution to the system of equations is x = 4 and y = 3.