Question

The graph shows two linear equations y = 2x + 1 and y = -3x - 4. Write the coordinates of the solution. (___ , ___)​

Answer 1

Answer:

(-1, -1)

Explanation:

To find the solution of the system of linear equations y = 2x + 1 and y = -3x - 4, we need to find the values of x and y that satisfy both equations simultaneously. This can be done by setting the two equations equal to each other and solving for x:

2x + 1 = -3x - 4

Adding 3x to both sides, we get:

5x + 1 = -4

Subtracting 1 from both sides, we get:

5x = -5

Dividing both sides by 5, we get:

x = -1

Now that we have found the value of x, we can substitute it into either equation to find the corresponding value of y. Using y = 2x + 1, we get:

y = 2(-1) + 1

y = -1

Therefore, the solution of the system of linear equations y = 2x + 1 and y = -3x - 4 is (-1, -1).

Answer 2

y= 2x+1 y = -3x-4

2x-y+1 = 0. 3x+y+4 = 0

a1 + b1 + c1 = 0 a2+ b2 + c2 = 0

x,y = b1c2- b2c1/ a1b2-a2b1 , a2c1-a1c2/a1b2-a2b1

x,y = -1×4 - 1×1 /2×1 - 3×-1 , 3×1-2×4 / 2×1 -3×-1

x,y = -5/-1 , -5/2

x,y= 5, 5/2