Question

Solve the system of equations:

3x - 4y = 0
2x + y = 33
A) x = 11, y = 13
B) x = 12, y = 3
C) x = 9, y = 6
D) x = 15, y = 3

Answer 1

To solve the system of equations 3x - 4y = 0 and 2x + y = 3, we can use the method of substitution or elimination.

Step-by-step explanation:

To solve the system of equations 3x - 4y = 0 and 2x + y = 3, we can use the method of substitution or elimination.

Method 1: Substitution:

1. From the second equation, solve for y in terms of x: y = 3 - 2x
2. Substitute the value of y in the first equation: 3x - 4(3 - 2x) = 0
3. Simplify and solve for x: x = 12/7
4. Substitute the value of x into the second equation to solve for y: y = 3 - 2(12/7)
5. Simplify and solve for y: y = 27/7

Therefore, the solution to the system of equations is x = 12/7 and y = 27/7.