No solution of the system of equations y = -2x + 5 and -5y = 10x + 20 ⇒ 2nd answer
Step-by-step explanation:
Let us revise the types of solutions of a system of linear equations
- One solution
- No solution when the coefficients of x and y in the two equations are equal and the numerical terms are different
- Infinitely many solutions when the coefficients of x , y and the numerical terms are equal in the two equations
∵ y = -2x + 5
- Add 2x to both sides
∴ 2x + y = 5 ⇒ (1)
∵ -5y = 10x + 20
- Subtract 10x from both sides
∴ -10x - 5y = 20
- Divide both sides by -5
∴ 2x + y = -4 ⇒ (2)
∵ The coefficient of x in equation (1) is 2
∵ The coefficient of x in equation (2) is 2
∴ The coefficients of x in the two equations are equal
∵ The coefficient of y in equation (1) is 1
∵ The coefficient of y in equation (2) is 1
∴ The coefficients of y in the two equations are equal
∵ The numerical term in equation (1) is 5
∵ The numerical term in equation (2) is -4
∴ The numerical terms are different
From the 2nd rule above
∴ No solution of the system of equations
No solution of the system of equations y = -2x + 5 and -5y = 10x + 20
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Answer:
Here,
denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far
Step-by-step explanation:
Number of cookies made by Walter so far = 15
He is asked by his coach to make at least 20 cookies but no more than 55.
Let
denotes the additional cookies that need to be made by Walter besides 15 cookies made by him so far.
The inequality is 
Now solve this inequality.

Answer:
Hi
Step-by-step explanation:
Please like I am noob I neeed brainliest
Answer:
C. 8 miles per hour
Step-by-step explanation:
1/24th of an hour is 2.5 minutes, taking Diego 2.5 minutes to ride 1/3rd of a mile
2.5 x 3 (to signify how long it would take Diego to ride a mile) = 7.5 minutes
60 divided by 7.5 = 8
<em>Therefore, Diego's speed in MPH is </em><em>8.</em>
Answer:
$28.5
Step-by-step explanation:
14-6.5=7.5
7.5x$3.8=28.5