Question

Чи є пара чисел (-2;3) є розв'язком системи рівняння {2x+3y=5 3x+4y=8​ Смотреть ответ nastyadubinina0616 nastyadubinina0616 2х+3у=5 2×(-2)+3×3=5 -4+9=5 5=5 3х+4у=8 3×(-2)+4×3=8 -6+12=8 6не равно 8

Answer 1

Solution to the System of Equations

To determine if the pair of numbers (-2, 3) is a solution to the system of equations {2x + 3y = 5, 3x + 4y = 8}, we can substitute the values of x and y into each equation and check if the equations hold true.

Let's substitute x = -2 and y = 3 into the first equation:

2(-2) + 3(3) = 5 -4 + 9 = 5 5 = 5

The equation holds true.

Now, let's substitute x = -2 and y = 3 into the second equation:

3(-2) + 4(3) = 8 -6 + 12 = 8 6 is not equal to 8

The equation does not hold true.

Therefore, the pair of numbers (-2, 3) is not a solution to the system of equations {2x + 3y = 5, 3x + 4y = 8}.

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