Answer the following questions through multiplying ( with process) :-
1. (y+2)(y-4)
2. (x square +5)(x squre +10)
3. 2x square-3y)(3xy - x)
Answers
Answer:
Simultaneous Equations - Also known as a system of equations, simultaneous equations are a set of equations containing multiple variables.
For example, the equations x + 2y = 10 and 3x - y = -3 form simultaneous equations.
Solution - A value or set of values that make the simultaneous equations true.
For example, the solution to the equations 2x + 3y = 15 and x - y = -10 is x = -3 and y = 7.
Step-by-step explanation:
Equation 1: x + 2y = 5
Equation 2: -10 + 4y = -2x
Equation 1, Multiplied by 2: 2x + 4y = 10
Equation 1, Multiplied by 2: 2x + 4y - 10 = 10 - 10
Equation 1, Multiplied by 2: 2x + 4y - 10 = 0
Equation 1, Multiplied by 2: 2x - 2x + 4y - 10 = 0 - 2x
Equation 1, Multiplied by 2: 4y - 10 = - 2x
Equation 1, Multiplied by 2: - 10 + 4y = - 2x
Notice that Equation 1 = Equation 2
One Solution
Equation 1: x - y = -10
Equation 2: 2x + 3y = 15
Equation 1, Rearranged: y = x + 10
Equation 1 Substituted into 2: 2x + 3(x + 10) = 15
Equation 1 Substituted into 2: 2x + 3x + 30 = 15
Equation 1 Substituted into 2: 5x + 30 = 15
Equation 1 Substituted into 2: 5x + 30 - 30 = 15 - 30
Equation 1 Substituted into 2: 5x = -15
Equation 1 Substituted into 2: x = -3
Equation 1, Solve for Y: 2(-3) + 3(y) = 15
Equation 1, Solve for Y: -6 + 3y = 15
Equation 1, Solve for Y: 3y = 21
Equation 1, Solve for Y: y = 7
Solution: x = -3, y = 7
Step-by-step explanation:
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