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Alex17521 [72]
3 years ago
15

At what point do 3x-2=26 and 5x=7y+58 intersect?

Mathematics
1 answer:
shutvik [7]3 years ago
7 0

3x-2=26\qquad\text{add 2 to both sides}\\\\3x=28\qquad\text{divide both sides by 3}\\\\\boxed{x=\dfrac{28}{3}}\\\\\text{Put the value of x to the second equation}\ 5x=7y+58\\\\5\left(\dfrac{28}{3}\right)=7y+58\qquad\text{multiply both sides by 3}\\\\(5)(28)=21y+174\\\\140=21y+174\qquad\text{subtract 174 from both sides}\\\\-34=21y\qquad\text{divide both sides by 21}\\\\\boxed{y=-\dfrac{34}{21}}\\\\Answer:\ \boxed{\left(\dfrac{28}{3},\ -\dfrac{34}{21}\right)}

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Step-by-step explanation:

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5 0
3 years ago
How do you do linear equations?
PilotLPTM [1.2K]
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An example of a linear equation is 3x - 7 = 11
with this, your objective is to get 'x' on its own and to do this, do inverse operations (the opposite to what is actually done) 
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So do this for both sides to give you

3x = 18
Yeah?

Now you must get 'x' on its own. It currently has 3 x's at the moment, so you must divide it by 3 to give you one 'x'. A rule with these - what you do to one side you must do to the other.
So this means that if you divide 3x by 3, you must divide 18 by 3.

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3 years ago
2(h-8)-h=h-16 what is the solution
BartSMP [9]
STEP-BY-STEP SOLUTION:

To solve this equation, first make ( h ) the subject and then simplify as much as possible as displayed below:

2 ( h - 8 ) - h = h - 16

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2h - h - h = - 16 + 15

h = 0

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4 0
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