Answer:
x = 3/2 or 1.5.
y = -1/2 or -0.5.
Step-by-step explanation:
Solve for one equation, one variable.
2x + 4y = 1
subtrract 4y from both sides.
2x = 1 - 4y
divide by 2 to get x by itself.
x = 1/2 - 2y
Now that we have this, we can put it into the other equation.
3x - 5y = 7
Substitute variable.
3(1/2 - 2y) - 5y = 7
Distribute the 3.
1.5 - 6y - 5y = 7
Combine terms.
-11y + 1.5 = 7
Subtract by 1.5.
-11y = 5.5
Divide by -11.
y = -1/2, or -0.5.
Now we can find x. Substitute this into the initial equation.
2x + 4y = 1
Substitute variable.
2x + 4(-1/2) = 1
Multiply.
2x + (-2) = 1
Simplify.
2x - 2 = 1
Add 2 to both sides.
2x = 3
Divide by 2.
x = 3/2, or 1.5.
x = 3/2 or 1.5.
y = -1/2 or -0.5.
