The sum of three integers is 189. the first integer is 28 less than the second. the second integer is 21 less than the sum of the first and third integer. find the three integers

The first integer is 56

The second integer is 84

The third integer is 49

Step-by-step explanation:

Define the variables

Let

x ----> the first integer

y ----> the second integer

z ----> the third integer

we know that

----> equation A

----> ----> equation B

----> equation C

Equate equations B and C

subtract x both sides

Adds 21 both sides

substitute the value of z in equation A

-----> equation D

Solve the system of equations B and D

----> equation B

-----> equation D

substitute equation B in equation D and solve for x

Find the value of y

----->

therefore

The first integer is 56

The second integer is 84

The third integer is 49

i can't see the picture : /

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x