Answer: x = -9 , y = -13
Explanation:
Multiply the second equation by 5, then add the equations together.
(−5x+3y=6)
5(x−y=4)
Becomes:
−5x+3y=6
5x−5y=20
Add these equations to eliminate x:
−2y=26
Then solve −2y=26 for y:
−2y = 26
Divide both sides by -2
y= -13
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−5x+3y=6
Substitute−13 for y in −5x+3y=6:
−5x+(3)(−13)=6
−5x−39=6 (Simplify both sides of the equation)
−5x−39+39=6+39 (Add 39 to both sides)
−5x=45
Divide both sides by -5
x = -9