Question

1) 4x + 3y = -7, 2x - y = 9;​

Answer 1

В виде точки:
Х=2 у=-5
В форме уравнения:
Х=2 у=-5

Пояснення:

Answer 2

To solve this system of equations:

1. 4x + 3y = -7
2. 2x - y = 9

You can use either the substitution method or the elimination method. Let's use the elimination method:

First, multiply the second equation by 3 to make the coefficients of y in both equations equal:

2x - y = 9 3(2x - y) = 3(9)

This gives you:

6x - 3y = 27

Now, you have the system of equations:

1. 4x + 3y = -7
2. 6x - 3y = 27

Add these two equations together to eliminate the variable y:

(4x + 3y) + (6x - 3y) = (-7) + 27

Combine like terms:

10x = 20

Now, divide both sides by 10 to solve for x:

10x/10 = 20/10 x = 2

Now that you have found the value of x, substitute it back into either equation 1 or 2 to solve for y. Let's use equation 2:

2x - y = 9 2(2) - y = 9 4 - y = 9

Now, subtract 4 from both sides to solve for y:

-y = 9 - 4 -y = 5

Multiply both sides by -1 to isolate y:

y = -5

So, the solution to the system of equations is:

x = 2 y = -5