To solve for x given the equations 2x + y = 4 and 3x + 2y = 13, we can use substitution or elimination. Let’s use the substitution method here.
First, we can express y in terms of x from the first equation:
y = 4 – 2x
Now we can substitute this expression for y into the second equation:
3x + 2(4 – 2x) = 13
Expanding this gives:
3x + 8 – 4x = 13
Simplifying further:
-x + 8 = 13
Subtracting 8 from both sides, we get:
-x = 5
Multiplying both sides by -1:
x = -5
Thus, the value of x is -5. This is the solution based on the provided equations, and we can verify it by plugging the value back into both equations to ensure they hold true.