Solve the following simultaneous equations: x+ y = 3/2; x - y = 5/2 and use your result to find the value of 2y + x
Answer Details
To solve the simultaneous equations x + y = 3/2 and x - y = 5/2, we can use the method of elimination.
First, we need to eliminate y. We can do this by adding the two equations:
(x + y) + (x - y) = 3/2 + 5/2
Simplifying, we get:
2x = 4
Dividing both sides by 2, we get:
x = 2
Now that we have solved for x, we can substitute this value into one of the original equations to solve for y. Let's use the first equation:
2 + y = 3/2
Subtracting 2 from both sides, we get:
y = -1/2
So the solution to the simultaneous equations is x = 2 and y = -1/2.
To find the value of 2y + x, we can simply substitute the values we found:
2y + x = 2(-1/2) + 2 = 1
Therefore, the answer is 1.