6 and 14 Solution x - y= 8, so x =8 + y, (x + y)/2 = 10, x + y = 20, Substituting x = 8 + y, we have: 2 y + 8 = 20, or 2y = 12, y = 6, x = 6+8= 14
y = 4x - 8 y = 2x + 10 The substitution means to: Find the intersection point of their graphs, which is the common solution of this linear system of equations: 4x - 8 = 2x + 10 2x = 18 x = 9 y = 4(9) - 8 = 36 - 8 = 28 or y = 2(9) + 10 = 28 Thus the solution is (9, 28)
8 + 5y = 18 Therefore, 5y = 10 y = 10/5 y = 2
To answer the question you need to know what Y=.
Suppose the numbers are x and y and that x < y Then y = 2x + 8 and x + y = 3y - 10 The second implies that x = 2y - 10 which, by the first gives x = 2(2x + 8) - 10 = 4x + 16 - 10 So -3x = 6 so that x = -2 and then y = 2*(-2)+8 = 4 So the two numbers are -2 and 4.
x + y = 10 y = x + 8 so, x + (x + 8) = 10 2x + 8 = 10 2x + 8 - 8 = 10 - 8 2x = 2 x = 1 and y = 9 because y = x + 8 y = 1 + 8 y = 9
x + y = 10 y = x + 8 so, x + (x + 8) = 10 2x + 8 = 10 2x + 8 - 8 = 10 - 8 2x = 2 x = 1 and y = 9 because y = x + 8 y = 1 + 8 y = 9
14
If: 2y-10 = 8 Then: y = 9
y/4 = 10/8 Multiply both sides by 4:- y = 40/8 y = 5
If x + y = 10 and y = x + 8Substitute y = x + 8 into x + y = 10Which gives; x + x + 8 = 10So; 2x + 8 = 10( - 8 from both sides); 2x=2So: x =1. Substitute back into y = x + 8And therefore y = 1 + 8 ; y=9
8
If y = 10, then -8y2 = -8(10)2 = -800.
Y=-3. -8 on both sides and divide by3 -10 = 8 + 3y -18 = 3y -6 = y or y = -6
x = 1, y = 9. Here's one way to solve:Since y = x + 8, from the second equation, substitute (x + 8) for y in the first equation: x + (x+8) = 10 --> 2x + 8 = 10, and 2x = 2, so x = 1.Now y = x + 8, so substitute x=1 and get y = 1 + 8 = 9. Check your answer in the first equation: [x+y=10]: 1+9=10, which checks out.
x+y = 10 and y = x+8 x+x+8 = 10 x+x = 10-8 2x = 2 x = 1 Substitute the value of x into the original equations to find the value of y: So: x = 1 and y = 9
6 and 14 Solution x - y= 8, so x =8 + y, (x + y)/2 = 10, x + y = 20, Substituting x = 8 + y, we have: 2 y + 8 = 20, or 2y = 12, y = 6, x = 6+8= 14