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rewona [7]
3 years ago
11

Whats the answer to: 3x + 5y = 2 9x + 11y = 14

Mathematics
1 answer:
valkas [14]3 years ago
5 0

\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}

{

3x+5y=2

9x+11y=14

∣⋅(−3)

−9x−15y=−6

9x+11y=14

add both sides of equations

. −4y=8 ∣:(=4)

. y=−2

substitute the value of y to the first equation

3x+5⋅(−2)=2

3x−10=2 ∣+10

3x=12 ∣:3

x=4

Answer: x=4; y=−2→(4; −2)

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Luke’s dad need 165 for a new suitcase. If he saves an equal amount for 3 weeks, how much does save each week?
goldenfox [79]
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Step 1: Look at the multiplications of three can you make a group with an answer close to one? if not look at 16 and the multiplications of three is there a number close to 16 or exact?

Step 2: In this case 5 × 3 = 15, so 15 is close to 16.


Step 3: Now you need to subtract 16 and 15, 16 - 15 = 1.


Step 4: Like there's no number that has 1 as a answer, you need to lower the 5.


Step 5: Once you lower the five it makes 15 in the in the multiplications of three is there something close to 15 or exact? Yes there is a number that can make 15, it's 5 × 3 so 15 take away 15 makes zero so your answer will be simple, 55.

So Luke's dad needs to save $55 each week.

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3 years ago
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3 0
2 years ago
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