Answer:
( - 1, - 5)
Explanation:
Elimination Method:
- A method for solving a system of linear equations where you add or subtract equations to eliminate a variable
- Eliminating one variable by combining two equations with a common term with adding or subtracting
Multiply the second equation by -1, then add the equations together.
(3x−4y=17)
−1(7x−4y=13)
Becomes:
3x−4y=17
−7x+4y=−13
Add these equations to eliminate y:
−4x=4
Then solve−4x=4for x:
−4x=4
-4x / -4 = 4/-4 (Divide both sides by -4)
x= −1
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
3x−4y=17
Substitute−1forxin3x−4y=17:
(3)(−1)−4y=17
−4y−3=17(Simplify both sides of the equation)
−4y−3+3=17+3(Add 3 to both sides)
−4y=20
-4y/ -4 = 20/ -4 (Divide both sides by -4)
y=−5
Answer:
x=−1 and y=−5