Question

5x+11y=21,8x-23y=-7​

Answer 1

Объяснение:

5х+11у=21

5х+11у-21=21-21

5х+11у-21=0

8х-23у=-7

8х-23у+7=-7+7

8х-23у+7=0

Answer 2

It looks like you've provided a system of two linear equations with two variables:

Equation 1: 5x + 11y = 21 Equation 2: 8x - 23y = -7

To solve for the values of x and y that satisfy both equations simultaneously, you can use methods like substitution, elimination, or matrix operations. Let's use the elimination method to solve this system:

Multiply both sides of Equation 1 by 8, and both sides of Equation 2 by 5 to make the coefficients of x in both equations equal:

Equation 1 (multiplied by 8): 40x + 88y = 168 Equation 2 (multiplied by 5): 40x - 115y = -35

Now, subtract Equation 2 from Equation 1 to eliminate the x terms:

(40x + 88y) - (40x - 115y) = 168 - (-35) 40x + 88y - 40x + 115y = 168 + 35 203y = 203

Divide both sides by 203:

y = 1

Now that we know the value of y, we can substitute it back into either Equation 1 or Equation 2 to solve for x. Let's use Equation 1:

5x + 11(1) = 21 5x + 11 = 21 5x = 10 x = 2

So, the solution to the system of equations is x = 2 and y = 1. The values (x = 2, y = 1) satisfy both Equation 1 and Equation 2.