Question

Can someone help with these problems?

Answer 1

@Pulsified333 @jim_thompson5910

Answer 2

@FireKat97

Answer 3

5. A = 6 + E
A + E = 32

so we have a set of simultaneous equations, so lets substitute,

6 + E + E = 32 (Putting the first equation into the second)
so 6 + 2E = 32
2E = 32 - 6
2E = 26
so E = 13


Lets put E back into any of the other ones to get A
so A = 6 + 13,
so A = 19

so emma is 13 and Alex is 19

Answer 4

Now 6, is similar, so have a go and let me know if you're struggling

Answer 5

@FireKat97

Answer 6

@campbell_st

Answer 7

Did you understand my solution to 5, @sbuck98

Answer 8

no @FireKat97

Answer 9

is there a specific part you didn't understand or was it al just too fast and confusing?

Answer 10

all*

Answer 11

I dont get any of it I just arted this class @FireKat97

Answer 12

*started

Answer 13

@sbuck98
#7
M = 2T + 5
M + T = 65 (so M = 65 - T)

65 - T = 2T + 5

60 - T = 2T

60 = 3T

T = 20 and M = 45

Answer 14

what about 6?

Answer 15

ohh okay so,
Lets assume Alex is A and Emma is E
so when we are told that Alex is 6 years older then Emma, we can say that emma (E) + 6 (because we're adding 6 to her age) equals the age of Alex (A), so this makes our statement true, because we are showing that Alex is 6 years older then Emma
5. A = 6 + E
Now for the second part of the question we are told, that if you add up Alex's (A) and Emma's (E) ages you get 32, so we know...
A + E = 32

so we have a set of simultaneous equations, so lets substitute, ( we can substitute these two equations to get rid of either A or E so that the question can now be solved). If you look at our first equation, its already in the form of A = ....... this is what we want because now we can put this ..... that A equals, into the A of our second equation to get rid of the A component in our second equation all together, so we get...

(6 + E {we put 6 + E instead of A}) + E = 32 (Putting the first equation into the second)
and now simplify
so 6 + 2E = 32
2E = 32 - 6
2E = 26
so E = 13


Lets put E back into any of the other ones to get A
so A = 6 + 13,
so A = 19

so emma is 13 and Alex is 19

Answer 16

thats #5 I need number 6

Answer 17

#6 @sbuck98
x+3x=52
means x=13

Answer 18

ok thank you @Pulsified333 can you help with the next page?

Answer 19

@FireKat97

Answer 20

#9 3x + 3 = 108 @sbuck98

Answer 21

#10 2x+2=72 @sbuck98