Question

{ 5x – 3y = 1{–5x+2y = - 4​

Answer 1

Ответ:

x=2

y=3

Объяснение:

Складываем и получаем -y=-3 => y=3

Подставляем и получаем x=2

Answer 2

-y=-3
y=3
———————————-

Answer 3

It looks like you've provided a system of two linear equations with two variables, x and y. The system can be written as:

Equation 1: 5x - 3y = 1 Equation 2: -5x + 2y = -4

You can solve for x and y by using various methods, such as substitution, elimination, or matrix operations. Here, I'll show you how to solve it using the elimination method:

Step 1: Multiply both sides of Equation 2 by 1/5 to make the coefficients of x the same in both equations:

Equation 2 (after multiplication): x - (2/5)y = -4/5

Step 2: Now, you can add Equation 1 and the modified Equation 2 to eliminate x:

(5x - 3y) + (x - (2/5)y) = 1 + (-4/5) 6x - (13/5)y = 1/5

Step 3: Solve the new equation for y:

6x - (13/5)y = 1/5 -(13/5)y = 1/5 - 6x y = (1/5 - 6x) * (-5/13) y = -5/13 + 30x/13

Step 4: Substitute the value of y into the modified Equation 2 to solve for x:

-5x + 2y = -4 -5x + 2(-5/13 + 30x/13) = -4 -5x - 10/13 + 60x/13 = -4 (60x - 5x) / 13 = -4 + 10/13 55x / 13 = -42 + 10/13 55x = -546 + 10 55x = -536 x = -536 / 55 x = - 1072 / 110 x = - 488 / 55

Step 5: Substitute the value of x back into the equation for y:

y = -5/13 + 30x/13 y = -5/13 + 30 * (-488/55) / 13 y = -5/13 - 7320/715 y = (-5 * 55 - 7320) / (13 * 715) y = (-275 - 7320) / 9295 y = -7595 / 9295

So, the solution to the system of equations is approximately: x ≈ -488/55 y ≈ -7595/9295