The sum of two numbers is 181 and their difference is 37.Find the larger of the two integers

  Larger First number: 109

  Second number: 72

Step-by-step explanation:

x + y = 181

x - y = 37

x = 37 + y

(37 + y) + y = 181

37 + y + y = 181

37 + 2y = 181

2y = 144

y = 72

x - y = 37

x - 72 = 37

x = 109

Check:

x + y = 181

  109 + 72 = 181

  181 = 181

x - y = 37

  109 - 72 = 37

  37 = 37

Larger number is x = 109

x=2 & x=1

step-by-step explanation:

7*1=7

7*2=14

7 is less than 21

14 is less than 21

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1