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uysha [10]
3 years ago
12

How many solution does the system have 6y+5x=8;2.5x+3y=4

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0
Solve by Elimination:
6y+5x=8
2.5x+3y=4
Multiply the second equations by 2:
5x+6y=8

we know see that both equations are the same line, this means that there is an infinite amount of solutions to the equation

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Write an equation or system of equations to solve the problem below.
VashaNatasha [74]

Equations:

2x+105=-3x+130

<em>subtract</em><em> </em><em>2x</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em>

<em>105</em><em>=</em><em> </em><em>-5x</em><em>+</em><em>130</em>

<em>Subtract</em><em> </em><em>130</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em>

<em>-5x</em><em>=</em><em> </em><em>-25</em>

<em>isolate</em><em> </em><em>the</em><em> </em><em>variable</em>

<em>x</em><em>=</em><em>5</em><em> </em>

<u>Plug</u><u> </u><u>back</u><u> </u><u>in</u>

<u>2</u><u>(</u><u>5</u><u>)</u><u>+</u><u>105</u><u>=</u><u> </u><u>-3</u><u>(</u><u>5</u><u>)</u><u>+</u><u>130</u>

<u>115</u><u>=</u><u> </u><u> </u><u>115</u>

5 0
3 years ago
Jeff wants to spend at most $89 on his mom's birthday gifts. He already bought her a
Andrew [12]

The Inequality representing money she can still spend on her friend birthday gift is .

Jordan can still spend at most $30 on her friends birthday gift.

Step-by-step explanation:

Given:

Total money need to spend at most = $45

Money spent on Yoga ball = $15

We need to find how much money she can still spend on her friend birthday gift.

Solution:

Let the money she can still spend on her friend birthday gift be 'x'.

So we can say that;

Money spent on Yoga ball plus money she can still spend on her friend birthday gift should be less than or equal to Total money need to spend.

framing in equation form we get;

The Inequality representing money she can still spend on her friend birthday gift is .

On solving the the above Inequality we get;

we will subtract both side by 15 using subtraction property of Inequality.

Hence Jordan can still spend at most $30 on her friends birthday gift.

4 0
2 years ago
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