Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational.
The solution of the system of equations is (-1 , -1)
Step-by-step explanation:
To solve the system of linear equations by substitution method
- Use one of the two equation to find one variable in terms of the other terms
- Substitute this variable in the second equation to find an equation of one variable
- Solve the equation to find the this variable
- Find the first variable using the substitution equation
∵ x + y = -2 ⇒ (1)
∵ y = 4x + 3 ⇒ (2)
- Substitute y in equation (1) by equation (2)
∴ x + (4x + 3) = -2
- Add like terms
∴ (x + 4x) + 3 = -2
∴ 5x + 3 = -2
- Subtract 3 from both sides
∴ 5x = -5
- Divide both sides by 5
∴ x = -1
- Substitute the value of x by -1 in equation (20 to find y
∴ y = 4(-1) + 3
∴ y = -4 + 3
∴ y = -1
The solution of the system of equations is (-1 , -1)
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Answer:
E
Step-by-step explanation:
