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:
according to calculator math its 127/100
Answer:
4.5 cups
Step-by-step explanation:
If the expression is 2*x*3, x must be 1/3 in order to cancel out the 3 which would leave the 2.
Answer: D,(11,61,62)
Step-by-step explanation:28,45,53
53²=28²+45²
2,809= 784+2,025
= 2,809
53²=2,809
(28,45,53) is a Pythagorean triple
16,63,65
65²=16²+63²
4225=256+3969
= 4225
65²=4225
(16,63,65) is a Pythagorean triple
13,84,85
85²=13²+84²
7225=169+7056
=7225
85²=7225
(13,84,85) is a Pythagorean triple
11,61,62
62²=11²+61²
3,844=121+3,721
=3,842
62²=3,844
(11,61,62) is not a Pythagorean triple
