Question

Solve the system of equation.3x+2y=4,8x-3y=-6

Answer 1

To solve this system of equations, we can use the method of substitution.

First, we can solve one of the equations for one of the variables. For example, we can solve the first equation for x:

3x + 2y = 4

3x = 4 - 2y

x = (4 - 2y)/3

Then, we can substitute this expression for x into the second equation to solve for y:

8((4 - 2y)/3) - 3y = -6

8(4) - 8(2y) - 3y = -6

32 - 16y - 3y = -6

19y = 38

y = 2

Finally, we can substitute this value back into either of the original equations to solve for x:

In the first equation:

3x + 2(2) = 4

3x + 4 = 4

3x = 0

x = 0

So the solution to the system of equations is (0,2).