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Sagot :
q-2r=4, therefore: q=4+2r.
Plug the value of q into q+r=37, so you get:
4+2r+r=37
3r=37-4=33
3r=33
Therefore: r=11.
q-2r=4, but r=11, so:
q-2(11)=4
q-22=4
Therefore q=26.
Check if the answer is correct using second equation:
q=4+2r=4+2(11)=4+22=26.
So: q=26 and r=11.
Plug the value of q into q+r=37, so you get:
4+2r+r=37
3r=37-4=33
3r=33
Therefore: r=11.
q-2r=4, but r=11, so:
q-2(11)=4
q-22=4
Therefore q=26.
Check if the answer is correct using second equation:
q=4+2r=4+2(11)=4+22=26.
So: q=26 and r=11.
to solve these problems we can solve by substitution or elimination method. Now we use the method of elimination.
The first equation :
q - 2r = 4
second equation :
q + r = 37
now elimination equations 1 and 2
[tex]q - 2r = 4\\\underline{q+~r= 37}~-\\~~-3r = -33\\~~~~~~~r = \frac{-33}{-3}\\~~~~~~~r = 11[/tex]
so the value of r is 11
now find the value of q by inserting r into equation 1
[tex]q - 2r = 4\\q - 2(11)=4\\q - 22=4\\q=4+22\\q=26[/tex]
so the value of q is 26
So the value of :
r = 11
q = 26
The first equation :
q - 2r = 4
second equation :
q + r = 37
now elimination equations 1 and 2
[tex]q - 2r = 4\\\underline{q+~r= 37}~-\\~~-3r = -33\\~~~~~~~r = \frac{-33}{-3}\\~~~~~~~r = 11[/tex]
so the value of r is 11
now find the value of q by inserting r into equation 1
[tex]q - 2r = 4\\q - 2(11)=4\\q - 22=4\\q=4+22\\q=26[/tex]
so the value of q is 26
So the value of :
r = 11
q = 26
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