Answer: x < 10
Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 6x by adding 5 to both sides.
That leaves you with 6x < 60 and now just divide both sides by 2 and x < 10.
Notice that because we divide both sides of the inequality
by a positive number, not a negative, we did not change the
direction of the inequality sign.
Finally, put your answer in set notation, {x: x < 10}.
Unlike an equation which normally has one solution, the answer to an inequality must be stated as a solution set because an entire set of answers will work. In this problem, it's any number less than 10.
Blake I think that the awnser to 22
From the equation that was gotten, the value of the pecan pies and the cheesecake will be $9 each.
Based on the information given, the equations to solve the question will be:
9p + 8s = 153 ..... i
2p + 6s = 72 ..... ii
Multiply equation i by 2
Multiply equation ii by 9.
18p + 16s = 306
18p + 54s = 648
Subtract the equations
38s = 342
s = 9
Since 2p + 6s = 72
2p + 6(9) = 72
2p + 54 = 72
2p = 72 - 54.
2p = 18
p = 18/2 = 9
They're both $9 each
Learn more about equations on:
brainly.com/question/25678139
Step 1; multiple equation 2 by -2: 14x+8y=-18
step2: subtract this new equation from equation 1 to eliminate x:
2y-8y=18-(-18)
-6y=36
y=-6
step 3: substitute y=6 in equation 2: -7x-4*(-6)=9, -7x=-15, x=15/7
Solve for m:
2 m - 5 - 3 = 10 - m
Subtract like terms. -3 - 5 = -8:
2 m - 8 = 10 - m
Add m to both sides:
2 m + m - 8 = (m - m) + 10
m - m = 0:
2 m + m - 8 = 10
2 m + m = 3 m:
3 m - 8 = 10
Add 8 to both sides:
3 m + (8 - 8) = 8 + 10
8 - 8 = 0:
3 m = 10 + 8
10 + 8 = 18:
3 m = 18
Divide both sides of 3 m = 18 by 3:
(3 m)/3 = 18/3
3/3 = 1:
m = 18/3
The gcd of 18 and 3 is 3, so 18/3 = (3×6)/(3×1) = 3/3×6 = 6:
Answer: m = 6
