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

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

Let's use the substitution method.

From the second equation, we can rearrange it to solve for y:

y = 4x - 3

Now, we can substitute this expression for y into the first equation:

2x + 3(4x - 3) = 5
2x + 12x - 9 = 5
14x - 9 = 5
14x = 14
x = 1

Now that we have found the value of x, we can substitute it back into the equation we found for y:

y = 4(1) - 3
y = 4 - 3
y = 1

Therefore, the solution to the system of equations is x = 1 and y = 1.

The system of equations is:
2x - 3y = 5
4x - y = 3

Multiply the second equation by 3:
12x - 3y = 9

Add the two equations:
14x = 14
Divide both sides by 14:
x = 1

Substitute x = 1 into the first equation:
2 - 1 - 3y = 5
6y = 5
Divide both sides by 6:
y = 5/6

So the solution is:
x = 1
y = 5/6