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Molodets [167]
2 years ago
11

Amy shops at two stores for a new sweater. The sweater at the first store costs $10 less than four times the cost,c, of the swea

ter at the seconds store. The sweater at the first store costs &80. Write and solve an equation to find the cost of the sweater at the seconds store
Mathematics
1 answer:
wolverine [178]2 years ago
6 0

Answer:

The cost of the sweater in the second store is $22.50

Step-by-step explanation:

From the problem we know that......

$80 = 4c - $10

There for.......

4c = $80 + $10

4c = $90

c = $90 / 4

c = $22.50

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pshichka [43]

Answer:

\boxed{\sf x=-2}

\boxed{\sf y=-4}

Step-by-step explanation:

<u>First, Let's  solve for x in -2x+2y=-4:</u>

\sf -2x+2y=-4

<u>Subtract 2y from both sides:</u>

\sf -2x+2y-2y=-4-2y

\sf -2x=-4-2y

<u>Divide both sides by -2:</u>

\sf \cfrac{-2x}{-2}=-\cfrac{4}{-2}-\cfrac{2y}{-2}

\bold{ x=y+2}

<u>Now, we'll substitute x=y+2 to 3x+3y=-18:</u>

\sf 3x+3y=-18

→ let x=2+y

\sf 3\bold{(2+y)}+3y=-18

<u>Simplify:</u>

\sf 6+6y=-18

<u>Now, let's solve for y in 6+6y=-18</u>

\sf 6+6y=-18

<u>Subtract 6 from both sides:</u>

\sf 6+6y-6=-18-6

\sf 6y=-24

<u>Divide both sides by 6:</u>

\sf \cfrac{6y}{6}=\cfrac{-24}{6}

\bold{ y=-4}

<u>Now, substitute y=-4 into x=2+y:</u>

\sf x=2+y

→ let y = -4

\sf x=2+\bold{-4}

\bold{x=-2}

Therefore, x=-2 and y=-4.

<u>_____________________________________</u>

5 0
2 years ago
Pls help soon:))
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Step-by-step explanation:

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Step-by-step explanation:

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