Solve the following set of equations using elimination.
-3x+5y=13
3x+2y=1
My answer:
x=-0.5
y=1.25
Am I right?
Wait I did it wrong let me redo it hang on
My new answers:
x=-1
y=2
Right!
To solve the set of equations using elimination, you need to eliminate one variable by adding or subtracting the equations. Let's proceed step by step:
1. Start with the given equations:
-3x + 5y = 13 ...(Equation 1)
3x + 2y = 1 ...(Equation 2)
2. To eliminate the variable 'x', you can add the two equations together:
(Equation 1) + (Equation 2):
(-3x + 5y) + (3x + 2y) = 13 + 1
Simplifying this, we get:
-3x + 3x + 5y + 2y = 14y = 14
3. Divide both sides of the equation by 14 to solve for 'y':
y = 14/14
y = 1
4. Now substitute the value of 'y' back into one of the original equations. Let's use Equation 2:
3x + 2(1) = 1
Simplifying this equation, we get:
3x + 2 = 1
5. Subtract 2 from both sides to solve for 'x':
3x = 1 - 2
3x = -1
Divide both sides by 3 to solve for 'x':
x = -1/3
Therefore, the solution to the set of equations is:
x = -1/3
y = 1
Based on your answer, it seems there was a mistake. The correct solution is:
x = -1/3
y = 1