Final answer:
To find the values of x and y in the equations 3x+2y=4 and 2x−3y=7, you can use the method of substitution or elimination. The values of x and y are x = 2 and y = -1.
Step-by-step explanation:
To find the values of x and y in the equations 3x+2y=4 and 2x−3y=7, we can use the method of substitution or elimination.
If we choose to use the method of substitution, we can start by solving one equation for one variable and substituting it into the other equation. Let's solve 3x+2y=4 for x:
3x = 4 - 2y
x = (4 - 2y) / 3
Now we can substitute this value of x into the second equation:
2((4 - 2y) / 3) - 3y = 7
Simplifying the equation:
(8 - 4y) / 3 - 3y = 7
8 - 4y - 9y = 21
-13y = 13
y = -1
Now we can substitute this value of y back into the first equation to find x:
3x + 2(-1) = 4
3x - 2 = 4
3x = 6
x = 2
Therefore, the values of x and y are x = 2 and y = -1.
Learn more about Solving Linear Equations