Respuesta :
Answer:
X=-2 and y=8. (-2,8)
Step-by-step explanation:
Let's solve your system by substitution.
y
=
3
x
+
14
;
y
=
−
4
x
Step: Solve
y
=
3
x
+
14
for y:
y
=
3
x
+
14
Step: Substitute
3
x
+
14
for
y
in
y
=
−
4
x
:
y
=
−
4
x
3
x
+
14
=
−
4
x
3
x
+
14
+
4
x
=
−
4
x
+
4
x
(Add 4x to both sides)
7
x
+
14
=
0
7
x
+
14
+
−
14
=
0
+
−
14
(Add -14 to both sides)
7
x
=
−
14
7
x
7
=
−
14
7
(Divide both sides by 7)
x
=
−
2
Step: Substitute
−
2
for
x
in
y
=
3
x
+
14
:
y
=
3
x
+
14
y
=
(
3
)
(
−
2
)
+
14
y
=
8
(Simplify both sides of the equation)
Answer:
x
=
−
2
and
y
=
8
Answer:
x = -2 and y-8
Step-by-step explanation:
First, you substitute the y into the first equation.
-4x = 3x + 14 Subtract by 3x on both sides so you can isolate the variable
-7x = 14 Divide by -7 on each side
x = -2
Then, substitute x into the equation
y = -4x
y = -4 (-2)
y = 8