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Ne4ueva [31]
3 years ago
7

If 3x+20=2y and x+5=y show that (2,7) is a solution solve by substitution. PLEASE ANSWER ME

Mathematics
2 answers:
lutik1710 [3]3 years ago
6 0
Well, 2 is x and 7 is y correct? so you would just do it like this

3x+20=2y
x+5=y

3(2)+20=2(7)
2+5=7
Lina20 [59]3 years ago
4 0
Subsitute x+5 for y
3x+20=2(x+5)
3x+20=2x+10
minus 2x both sides
x+20=10
minus 20
x=-10
sub back

x+5=y
-10+5=y
-5=y


x=-10
y=-5
(x,y)
(-10,-5)


(2,7) is not a solution
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This questions can be answered with a calculator, but I have an impression it is meant to be a mental calculation problem, which can be solved as follows.

We know that 10*10=100, in otherwords, √ 100 = 10 which is greater than 9.4247.

We also know that √ 108  is greater than √ 100 =10

So we can conclude that
√ 108 > √ 100 = 10  > 9.4247
or simply

√ 108 > 9.4247

by the transitive property of logical propositions.


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