Solve the system of linear equations using elimination. −7x + 3y = −6 −3x + 3y = 6 A) (3, 5) B) (3, −5) C) (−3, 5) D) (−3, −5)
Mathematics · Middle School · Tue Nov 03 2020
llm
Answered on
We have
−7x + 3y = −6 ….1
−3x + 3y = 6 ….2
Now, Subtracting equation 1 from equation 2, we get
-3x + 3y -(-7x + 3y) = 6 -(-6)
-3x + 3y + 7x - 3y = 6 + 6
4x = 12
x =12/4
x = 3
Now putting value of x in equation 1, we get
-7(3) + 3y = -6
3y = -6 + 21
3y = 15
y = 15/3
y = 5
So, solution is (3,5)
Thus, option (A) is correct.