Question

15) (x-84)*11=174 16) 26*y+8935=1421317) 46*y-6435=745718) 1612-x=14*10819) x-1261=17*207​

Answer 1

$15) \\ (x - 84) \times 11 = 174 \\ 11x - 924 = 174 \\ 11x = 1098 \\ x = \frac{1098}{11} = 99 \frac{9}{11}$

$17) \\ 46y - 6435 = 7457 \\ 46y = 13892 \\ y = 13892 \div 46 = 302$

$16) \\ 26y + 8935 = 14213 \\ 26y = 5278 \\ y = 5278 \div 26 = 203$

$18) \\ 1612 - x = 14 \times 108 \\ - x = - 100 \\ x = 100$

$19) \\ x - 1261 = 17 \times 207 \\ x = 3519 + 1261 = 4780$

$reasonable$

Answer 2

Let's solve these equations one by one:

15. (x - 84) * 11 = 174 First, distribute the 11 on the left side: 11x - 924 = 174

Now, add 924 to both sides to isolate x: 11x = 174 + 924 11x = 1098

Finally, divide both sides by 11 to solve for x: x = 1098 / 11 x = 99.82 (rounded to two decimal places)

16. 26y + 8935 = 142131 Subtract 8935 from both sides to isolate 26y: 26y = 142131 - 8935 26y = 133196

Now, divide both sides by 26 to solve for y: y = 133196 / 26 y = 5123.69 (rounded to two decimal places)

17. 46y - 6435 = 7457 Add 6435 to both sides to isolate 46y: 46y = 7457 + 6435 46y = 13892

Now, divide both sides by 46 to solve for y: y = 13892 / 46 y = 302 (whole number)

18. 1612 - x = 14 * 108 First, calculate the right side of the equation: 14 * 108 = 1512

Now, subtract 1512 from both sides to isolate x: 1612 - x = 1512

To solve for x, subtract 1612 - 1512: x = 1612 - 1512 x = 100

19. x - 1261 = 17 * 207 First, calculate the right side of the equation: 17 * 207 = 3519

Now, add 1261 to both sides to isolate x: x = 3519 + 1261 x = 4780

So, the solutions to the equations are as follows: 15) x = 99.82

16. y = 5123.69
17. y = 302
18. x = 100
19. x = 4780