If y + 2x = 4 and y - 3x = -1, find the value of (x + y)
Answer Details
To find the value of (x + y), we need to solve for x and y first. We can do this by using two equations: y + 2x = 4 and y - 3x = -1.
First, we can isolate y in one of the equations by adding or subtracting the other equation. For example, if we add the two equations, we get:
2y = 3
Then, we can solve for y by dividing both sides by 2:
y = 3/2
Next, we can substitute the value of y back into one of the original equations to solve for x. For example, using the equation y + 2x = 4:
3/2 + 2x = 4
Subtracting 3/2 from both sides:
2x = 7/2
And finally, dividing both sides by 2:
x = 7/4
Now that we have found the values of x and y, we can add them to find (x + y):
x + y = 7/4 + 3/2
Combining the fractional terms:
x + y = 7/4 + 6/4
And finally, adding the whole numbers:
x + y = 13/4 = 3.25
So, (x + y) is approximately equal to 3.