Equation #1:
|2x - 3| = 17
The first solution is
2x - 3 = 17
2x = 17 + 3 = 20
x = 10
The second solution is
3 - 2x = 17
-2x = 17 - 3 = 14
x = -7
The solutions are x = 10 or x = -7.
Equation #2:
|5x + 3| = 12
The only solution is
5x + 3 = 12
5x = 12 - 3 = 9
x = 9/5
Let us examine the given answers.
a. Equation #1 and #2 have the same number of solutions.
FALSE
b. Equation @1 has more solutions than Equation #2.
TRUE
c. Equation #1 has fewer solutions than equation #2.
FALSE
d. None of the statements a,b, or c apply.
FALSE
Answer: b.
Answer: Let's solve for x.
−x−y=6
Step 1: Add y to both sides.
−x−y+y=6+y
−x=y+6
Step 2: Divide both sides by -1.
−x
−1
=
y+6
−1
x=−y−6
Answer:
x=−y−6
Let's solve for x.
5x−7y=66
Step 1: Add 7y to both sides.
5x−7y+7y=66+7y
5x=7y+66
Step 2: Divide both sides by 5.
5x
5
=
7y+66
5
x=
7
5
y+
66
5
Answer:
x=
7
5
y+
66
5
Step-by-step explanation:
Answer:
$1.75
Step-by-step explanation:
The selling for each candy bar may be determined by a set of linear equations. This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.
It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation
.
Let the cost of a snack bag be s and that of a candy bar be c, then if on Wednesday the students or 23 snack bags and 36 candy bars that raised $114.75 on Thursday the seventh so 37 snack bags and 36 candy bars that raised $146.25
23s + 36c = 114.75
37s + 36c = 146.25
14s = 31.5
s = $2.25
23(2.25) + 36c = 114.75
36c = 114.75 - 51.75
36c = 63
c = 63/36
= $1.75
Answer:
<em>* Siobhan's profit at the grocery store ⇒ $ 10.8 *</em>
Step-by-step explanation:
See below;
Priya's 40% profit in the grocery store ⇒ 40/100 * 9 = 2/5 * 9 = 18/5 ⇒ $ 3.6,
Priya's profit at the grocery store ⇒ 9 + 3.6 ⇒ $ 12.6,
Siobhan's 15% of Priya's profit from the store ⇒ 15/100 * 12.6 = $ 1.8
Siobhan's profit at the grocery store ⇒ 12.6 - 1.8 = $ 10.8
<em>* Siobhan's profit at the grocery store ⇒ $ 10.8 *</em>
