Question

15x+14y=1170 4x+3y=110​

Answer 1

Ответ:

15Х+14у=1170

-5Х+29у=620

15Х+14у=1170

-15Х+87у=1860

у=30

Answer 2

To solve the system of equations:

1. 15x + 14y = 1170
2. 4x + 3y = 110

There are several methods to solve this system, but I'll use the method of substitution.

Step 1: Solve one of the equations for one variable. Let's solve equation 2 for x: 4x + 3y = 110 4x = 110 - 3y x = (110 - 3y) / 4

Step 2: Substitute the value of x from step 1 into the other equation (equation 1). 15x + 14y = 1170 15((110 - 3y) / 4) + 14y = 1170

Step 3: Simplify the equation and solve for y. Multiply both sides by 4 to eliminate the fraction: 15(110 - 3y) + 56y = 4680 1650 - 45y + 56y = 4680 11y = 4680 - 1650 11y = 3030 y = 3030 / 11 y = 275

Step 4: Now that we have the value of y, substitute it back into the expression for x: x = (110 - 3y) / 4 x = (110 - 3 * 275) / 4 x = (110 - 825) / 4 x = -715 / 4

So, the solution to the system of equations is x = -715/4 and y = 275.