Answer: One solution
<u>Step-by-step explanation:</u>
y = 3.5x - 3.5
y = -3.5x + 3.5
Use substitution to solve:
3.5x - 3.5 = -3.5x + 3.5
<u>+3.5x </u> <u>+3.5x </u>
7.0x - 3.5 = 3.5
<u> +3.5 </u> <u> +3.5 </u>
7.0x = 7.0
<u>÷7.0 </u> <u> ÷7.0 </u>
x = 1.0
Since there is a solution for x, then there is one solution
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Answer: 9x - 12y = 24
<u>Step-by-step explanation:</u>
consistent-dependent means they are the same line. This occurs when the given line is multiplied by a constant.
Let the constant be 3, then y = 3(3x - 4y = 8)
= 9x - 12y = 24
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Answer: 19 laptops and 11 tablets
<u>Step-by-step explanation:</u>
Laptops (x): $515
Tablets (y): $285
EQ1: 515x + 285y = 11,080
EQ2: x + y = 30
Use elimination to solve:
515x + 285y = 11,080 ⇒ ⇒ ⇒ ⇒ 515x + 285y = 11,080
x + y = 30 ⇒ =515(x + y = 30) ⇒ <u>-515x - 515y</u> = <u>-15,450</u>
-230y = 4,370
<u> ÷-230</u> <u> ÷-230</u>
y = 19
x + y = 30
x + 19 = 30
x = 11