7x+6=3x-6
+6 +6
7x+12=3x
-3x -3x
4x+12=0
-4x -4x
divide both sides by -4 but you have to flip the sign.
-3>x
or
{x | x < -3}
Answer:
(10, 3)
Step-by-step explanation:
Solve by Substitution
2x − 4y = 8 and 7x − 3y = 61
Solve for x in the first equation.
x = 4 + 2y 7x − 3y = 61
Replace all occurrences of x with 4 + 2y in each e quation.
Replace all occurrences of x in 7x − 3y = 61 with 4 + 2y. 7 (4 + 2y) − 3y = 61
x = 4 + 2y
Simplify 7 (4 + 2y) − 3y.
28 + 11y = 61
x = 4 + 2y
Solve for y in the first equation.
Move all terms not containing y to the right side of the equation.
11y = 33
x = 4 + 2y
Divide each term by 11 and simplify.
y = 3
x = 4 + 2y
Replace all occurrences of y with 3 in each equation.
Replace all occurrences of y in x = 4 + 2y with 3. x = 4 + 2 (3)
y = 3
Simplify 4 + 2 (3).
x = 10
y = 3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(10, 3)
The result can be shown in multiple forms.
Point Form:
(10, 3)
Equation Form:
x = 10, y = 3
Answer:
The mistake is that 4x+x = 5x not 4x
Step-by-step explanation:
4x + x = 30 –6
Combine like terms
5x = 24
Divide each side by 5
5x/5 = 24/5
x = 24/5
The mistake is that 4x+x = 5x not 4x
Target: ratio of pizza places / person < 0.01
<span>The
population of 15 blocks of the north side of town is 221 people per
block, but there are already 32 pizza places in the area.
population = 15*221 = 3,315
ratio: 32 pizza places / 3315 people = 0.0097 pizza places per person
Which indeed is less than 0.01 => this area is good for their purpose.
The population
of 22 blocks of the south area is 150 people per block, and there are
28 pizza places in the area.</span>
population: 22*150 = 3300
ratio: 28 pizza places / 3300 people = 0.00085 which is also less than 0.01
Both places meet the target of less than 0.01 places per person, but the south area seems better than north area.
