Question

X + y = 7 x - y = 3 МЕТОДОМ ДОДАВАННЯ

Answer 1

2х=10
х-у=3

х=5
-у=3-5
-у=-2
у=2
відповідь: (5;2)

Answer 2

To solve the given system of equations using the method of addition, follow these steps:

Step 1: Write down the two equations: Equation 1: x + y = 7 Equation 2: x - y = 3

Step 2: Multiply Equation 2 by (-1) to create an additive inverse for the y term: Equation 2 (multiplied by -1): -x + y = -3

Step 3: Add Equation 1 and Equation 2 (multiplied by -1) to eliminate the y term: (x + y) + (-x + y) = 7 + (-3) Simplifying the equation gives: x - x + y + y = 7 - 3

Step 4: Combine like terms: 2y = 4

Step 5: Solve for y by dividing both sides by 2: 2y/2 = 4/2 y = 2

Step 6: Substitute the value of y (2) into one of the original equations to solve for x. Let's use Equation 1: x + 2 = 7

Step 7: Solve for x: x = 7 - 2 x = 5

Therefore, the solution to the given system of equations is x = 5 and y = 2.