Question

What is the solution of the system?
-4x + 3y = -16
-x + 2y = -4


A.
(4, 0)
B.
(0, 4)
C.
No solution
D.
All real numbers

Answer 1

Use Cymath

Answer 2

Problem:
Solve −4x+3y=−16;−x+2y=−4
Steps:
I will try to solve your system of equations.
−x+2y=−4;−4x+3y=−16
Step: Solve−x+2y=−4for x:
−x+2y+−2y=−4+−2y(Add -2y to both sides)
−x=−2y−4
−x
−1
=
−2y−4
−1
(Divide both sides by -1)
x=2y+4
Step: Substitute2y+4forxin−4x+3y=−16:
−4x+3y=−16
−4(2y+4)+3y=−16
−5y−16=−16(Simplify both sides of the equation)
−5y−16+16=−16+16(Add 16 to both sides)
−5y=0
−5y
−5
=
0
−5
(Divide both sides by -5)
y=0
Step: Substitute0foryinx=2y+4:
x=2y+4
x=(2)(0)+4
x=4(Simplify both sides of the equation)
Answer:
x=4 and y=0

Answer 3

so its a