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nalin [4]
3 years ago
10

Find a solution to the following system of equations.

Mathematics
2 answers:
Flauer [41]3 years ago
8 0

b. (-1,2)
( - 12



julsineya [31]3 years ago
4 0
<span><span> {x,y} = {-1,2}</span> 
</span><span> [2] 5y = -3x + 7 [2] y = -3x/5 + 7/5</span>

// Plug this in for variable  y  in equation [1]

<span><span>  [1] -5x + 2•(-3x/5+7/5) = 9 </span><span>  [1] -31x/5 = 31/5 </span><span>  [1] -31x = 31 </span></span>

// Solve equation [1] for the variable  x  

<span><span>  [1] 31x = - 31</span>  <span>  [1] x = - 1</span> </span>

// By now we know this much :

<span><span>  x = -1</span> <span>  y = -3x/5+7/5</span></span>

<span>// Use the  x  value to solve for  y  
</span>

<span>   y = -(3/5)(-1)+7/5 = 2 </span>Solution :<span><span> {x,y} = {-1,2}</span>  </span>
<span>
</span>
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Answer:

x = 34

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Step-by-step explanation:

Angles in a triangle add up to equal 180

If ΔRST is a triangle and ∠R, ∠S and ∠T are angles in that triangle

Then ∠R + ∠S + ∠T = 180

That being said we want to create an equation to solve for x

If angles in a triangle have a SUM of 180

Then, 31 + x + 4 + 3x + 9 = 180

We now solve for x

Step 1 combine like terms

31 + 4 + 9 = 44

x + 3x = 4x

we now have 44 + 4x = 180

step 2 subtract 44 from each side

44 - 44 cancels out

180 - 44 = 136

We now have 136 = 4x

Step 3 divide each side by 4

4x / 4 = x

136 / 4 = 34

We're left with x = 34

Now we want to find the measures of ∠S and ∠T

To do so, we substitute 34 for x in their given expression

∠S = x + 4

* substitute 34 for x  *

∠S = 34 + 4

34 + 4 = 38

Thus ∠S = 38°

∠T = 3x + 9

* substitute 34 for x *

∠T = 3 ( 34 ) + 9

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102 + 9 = 111

Thus, ∠T = 111°

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3 years ago
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PtichkaEL [24]

Answer:

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Step-by-step explanation:

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3 years ago
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