Question

Решите систему x-2y=-7 4x+7y=17

Answer 1

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Готово!!Удачи))
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Answer 2

Вот так, надеюсь, понятно

Answer 3

To solve the system of equations:

1. x - 2y = -7
2. 4x + 7y = 17

There are various methods to solve this system, such as substitution, elimination, or matrix methods. Let's use the elimination method here.

Step 1: Multiply the first equation by 4 and the second equation by 1 to make the coefficients of x in both equations equal:

4(x - 2y) = 4(-7) [Equation 1 multiplied by 4] 1(4x + 7y) = 1(17) [Equation 2 multiplied by 1]

Simplifying:

1. 4x - 8y = -28
2. 4x + 7y = 17

Step 2: Now, we'll eliminate the x terms by subtracting Equation 2 from Equation 1:

(4x - 8y) - (4x + 7y) = -28 - 17

Simplifying:

-8y - 7y = -45

Step 3: Combine the y terms:

-15y = -45

Step 4: Solve for y by dividing both sides by -15:

y = -45 / -15

y = 3

Step 5: Now that we have the value of y, substitute it back into either Equation 1 or Equation 2 to solve for x. Let's use Equation 1:

x - 2y = -7

x - 2(3) = -7

x - 6 = -7

Step 6: Solve for x:

x = -7 + 6

x = -1

So, the solution to the system of equations is x = -1 and y = 3.