There are two numbers whose sum is 53. three times the smaller is equal to 19 more than the larger number. what are the numbers?

Two numbers whose sum is 53=X+Y

Transpose Y to the other side to obtain: X=53-Y - Equation 1
3X=19+Y - Equation 2
Substitute Equation 1 into Equation 2: 3(53-Y)=19+Y - use distributive property to distribute 3
159-3Y=19+Y group similar expressions by using transposition
140=4Y divide both sides by four
35=Y

53=X+35 transpose 35 to the left side
53-35=X
X=18
The numbers are 35 and 18

You move the constant to the right side and change its sign to be 9z= -6 -8. that’s the first step.the second step would be calculate the difference of -8-6 to get -14. you equation should now be 9z=-14the last step is to divide both sides by 9 to get z=-14/9hope this