Let's solve your system by substitution.
y
=
−
2
x
+
7
;
y
=
5
x
−
7
Step: Solve
y
=
−
2
x
+
7
for y:
y
=
−
2
x
+
7
Step: Substitute
−
2
x
+
7
for
y
in
y
=
5
x
−
7
:
y
=
5
x
−
7
−
2
x
+
7
=
5
x
−
7
−
2
x
+
7
+
−
5
x
=
5
x
−
7
+
−
5
x
(Add -5x to both sides)
−
7
x
+
7
=
−
7
−
7
x
+
7
+
−
7
=
−
7
+
−
7
(Add -7 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
=
−
2
x
+
7
:
y
=
−
2
x
+
7
y
=
(
−
2
)
(
2
)
+
7
y
=
3
(Simplify both sides of the equation)
Answer: x=2 and y=3
Answer:
domain is { - 1, 0, 1 }
Step-by-step explanation:
The domain are the values of the input x
Substitute the value from the range y into the equation and solve for x
y = 1
2x + 3 = 1 ( subtract 3 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
-------------------------------
y = 3
2x + 3 = 3 ( subtract 3 from both sides )
2x = 0 , then
x = 0
-------------------------------
y = 5
2x + 3 = 5 ( subtract 3 from both sides )
2x = 2 ( divide both sides by 2 )
x = 1
Then the domain is { - 1, 0, 1 }
Answer:
solve with algebraic method: 3x^2+10x=8. Solution- x = 2/3 x = -4
Answer:
$192
Step-by-step explanation:
Bill: $160.00
Tip: 20%
To figure out 10%, you need to move the decimal point over to the left one place: $16.00
10%: $16.00
16 times 2= $32.00
160.00+32.00= $192.00