Question

X - 5y = 3; 2x + 3y = 19​

Answer 1

№1

x-5y=3

x-50-3

x - 5 • 0 -3

x-0=3

відповідь: x-0=3

№2

2x+3y=19

2x+3x0=19

2x+0=19

2x=19

x=

$\frac{19}{2}$

Answer 2

To solve the system of equations:

X - 5y = 3 ---(1) 2x + 3y = 19 ---(2)

There are multiple methods to solve this system, such as substitution, elimination, or using matrices. Here, I'll show you how to solve it using the substitution method.

We'll solve equation (1) for X in terms of y:

X = 5y + 3 ---(3)

Now we'll substitute equation (3) into equation (2) to eliminate X:

2(5y + 3) + 3y = 19

10y + 6 + 3y = 19

13y + 6 = 19

13y = 19 - 6

13y = 13

y = 13/13

y = 1

Now we'll substitute the value of y back into equation (3) to find the value of X:

X = 5(1) + 3

X = 5 + 3

X = 8

Therefore, the solution to the system of equations is X = 8 and y = 1.