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Tomtit [17]
3 years ago
9

What are the rules for having variables on both sides of the equation?

Mathematics
1 answer:
Lunna [17]3 years ago
6 0
-2y+5=-4y+7\\
2y=2\\
y=1
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Mrs. Smith decides to buy three sweaters and a pair of jeans. she had $120 in her wallet. if the price of jeans is $45,
ale4655 [162]

Answer:

3s+2j\leq $120. The sweaters cost $10 or less each. We graph it on a number line at 10 and use a filled in dot pointing towards zero for less than.

Step-by-step explanation:

Mrs. Smith buys 3 sweaters (represented by 3s) and 2 jeans (represented by 2j) for a total of at most $120. We don't know the total but we do know she couldn't spend more than $120.

We write 3s+2j\leq $120.

We know the jeans cost $45 each, so j=45. We substitute,

3s+2(45)\leq $120\\3s+90\leq $120

We solve for s by subtracting 90 to the other side and dividing the result by 3.

3s+90-90\leq 120-90\\3s\leq 30\\\frac{3s}{3}\leq\frac{30}{3}

s\leq 10.

The sweaters cost $10 or less each.


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