The two lines in this system of equations are parallel
Step-by-step explanation:
Let us revise the relation between 2 lines
- If the system of linear equations has one solution, then the two line are intersected
- If the system of linear equations has no solution, then the two line are parallel
- If the system of linear equations has many solutions, then the two line are coincide (over each other)
∵ The system of equation is
3x - 6y = -12 ⇒ (1)
x - 2y = 10 ⇒ (2)
To solve the system using the substitution method, find x in terms of y in equation (2)
∵ x - 2y = 10
- Add 2y to both sides
∴ x = 2y + 10 ⇒ (3)
Substitute x in equation (1) by equation (3)
∵ 3(2y + 10) - 6y = -12
- Simplify the left hand side
∴ 6y + 30 - 6y = -12
- Add like terms in the left hand side
∴ 30 = -12
∴ The left hand side ≠ the right hand side
∴ There is no solution for the system of equations
∴ The system of equations represents two parallel lines
The two lines in this system of equations are parallel
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Answer:
46.61
Step-by-step explanation:
18% of 39.50 = 7.11
39.50 + 7.11 = 46.61
Step-by-step explanation:
(x - 8) (x + 8) = x² - 64
because
x² + 8x - 8x - 64
(a⁵)^-1 = 1/(a⁵)
that is the definition of a negative exponent. it means 1/...
1) quarter- pound can be written as 1/4 pound
100:1/4=100*4=400
400 <span> hamburgers
2) The difference between these temperatures 212-32=180
180
Any number that is more than 32 and less than 212 is between this temperatures.
For example 40, and 136 lie between 32 and 212.
3) 1000, 100, 10, 1...
We can see that every next number 10 times less than previous number,
so after 1 should be 1/10=0.1
If it is written as fraction 1/10, if it is written as decimal 0.1.</span>