Question

2 x +13 y=-69, (14 x +11y=-3.​

Answer 1

Ответ:  4.5.  -6.

Объяснение:

2x +13y=-69;                         [*(-7)]

14x +11y=-3;

----------------------------

-14-91y=483;

14x +11y=-3;

Складываем:

-91y+11y=483+(-3);

-80y=480;

y= - 480:80;

y= -6; Подставляем в 14x +11y=-3:

14x+11*(-6)=-3;

14x=63;

x=63/14.

x=9/2 = 4.5.

Answer 2

You have a system of two linear equations with two variables:

1. 2x + 13y = -69
2. 14x + 11y = -3

You can solve this system of equations using various methods, such as substitution, elimination, or matrix algebra. Let's solve it using the elimination method:

First, you want to manipulate the equations so that when you add or subtract them, one of the variables will cancel out. To do this, multiply both sides of the first equation by 11 and the second equation by -13, so that the coefficients of y in both equations will cancel out when added:

1. 22x + 143y = -759
2. -182x - 143y = 39

Now, add the two equations:

(22x + 143y) + (-182x - 143y) = (-759 + 39)

This simplifies to:

-160x = -720

Now, divide both sides by -160 to solve for x:

x = (-720) / (-160) x = 4.5

Now that you have found the value of x, you can substitute it into one of the original equations to solve for y. Let's use the first equation:

2x + 13y = -69 2(4.5) + 13y = -69 9 + 13y = -69

Now, subtract 9 from both sides:

13y = -69 - 9 13y = -78

Finally, divide both sides by 13 to solve for y:

y = -78 / 13 y = -6

So, the solution to the system of equations is x = 4.5 and y = -6.