Answer:
The answer is A: (1,6).
Step-by-step explanation:Let's solve your system by substitution.
4x−4y=−20;7x+y=13
Rewrite equations:
7x+y=13;4x−4y=−20
Step: Solve7x+y=13for y:
7x+y=13
7x+y+−7x=13+−7x(Add -7x to both sides)
y=−7x+13
Step: Substitute−7x+13foryin4x−4y=−20:
4x−4y=−20
4x−4(−7x+13)=−20
32x−52=−20(Simplify both sides of the equation)
32x−52+52=−20+52(Add 52 to both sides)
32x=32
32x
32
=
32
32
(Divide both sides by 32)
x=1
Step: Substitute1forxiny=−7x+13:
y=−7x+13
y=(−7)(1)+13
y=6(Simplify both sides of the equation) Then we get the answer (1,6), so Option A is corrrect.
