Question

2x+11y=15,10x-11y=9 а) (3;-1),(-9,3),(2;1),(1;2)

Answer 1

Объяснение:

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Answer 2

To check which of the given points satisfy the given system of equations, we can substitute the values of x and y from each point into the equations and see if the equations are satisfied.

Let's go through each point one by one:

a) Point (3, -1): Substituting x = 3 and y = -1 into the equations: Equation 1: 2(3) + 11(-1) = 6 - 11 = -5 Equation 2: 10(3) - 11(-1) = 30 + 11 = 41 Since the values don't satisfy both equations, (3, -1) is not a solution.

b) Point (-9, 3): Substituting x = -9 and y = 3 into the equations: Equation 1: 2(-9) + 11(3) = -18 + 33 = 15 Equation 2: 10(-9) - 11(3) = -90 - 33 = -123 Since the values don't satisfy both equations, (-9, 3) is not a solution.

c) Point (2, 1): Substituting x = 2 and y = 1 into the equations: Equation 1: 2(2) + 11(1) = 4 + 11 = 15 Equation 2: 10(2) - 11(1) = 20 - 11 = 9 The values satisfy both equations, so (2, 1) is a solution.

d) Point (1, 2): Substituting x = 1 and y = 2 into the equations: Equation 1: 2(1) + 11(2) = 2 + 22 = 24 Equation 2: 10(1) - 11(2) = 10 - 22 = -12 Since the values don't satisfy both equations, (1, 2) is not a solution.

So, the only solution from the given points is (2, 1).